Overall, I find the Model 3 does exceptionally well on the snow. Yes you can feel the car loose traction when applying the throttle but it's immediately corrected by the onboard computer.
Another fan of the Model 3's winter handling. And a P3D owner. Coincidence? I'm beginning to wonder if the P3D doesn't come with more "expert" winter driving dynamics in terms of software? I've never driven a regular AWD so I can't say. But I have noticed a lot of people with the regular AWD report a lack of confidence when driving on snow/ice compared to P3D owners.
Also with Chill mode, it's a bit more difficult to loose the rear.
I've been experimenting with Chill Mode in various snow/ice conditions all winter. I agree, you have to push the accelerator deeper when in Chill Mode to effect the same amount of slippage, but you also need to push the accelerator deeper to effect the same amount of acceleration. Chill Mode simply remaps the throttle. And it's difficult to tell definitively, but it sure seems like it might be adding in throttle delay, much like you might get with an ICE car. If you give it a sudden throttle increase it feels like it ramps up that command over time. In any case, it makes me feel much more disconnected from the throttle and I don't like it or find it useful. It feels like there is a rubber band down there, lol! One of the best things about the Model 3 winter driving dynamics is the direct throttle control. I want consistent throttle control and the re-mapping that Chill Mode does just makes the experience less consistent and is one more thing to learn. I know a lot of people find it useful, I'm just sharing my experience. I've tried to like it or make good use of it in a number of different conditions but, the more I experiment with it, the more I dislike it. I have zero issues with the regular acceleration mode, I just use smaller throttle inputs when on snow/ice and the more direct feeling of control increases my confidence and consistency.
Last but not least, what I find a bit curious is the way the car loose control when the car is set to Normal Regen. For most people, it can also create a lack of confidence when braking on snow.
I think you meant "lose control"? Or did you mean regen braking control feels "loose"?
My observations are that the traction control (or anti-slide properties) built into regen braking is/are not as precise as the same properties built into the anti-lock friction brakes. For example, when entering a slippery, downhill hairpin corner using regen braking (in Standard Mode), the slide feels "mushy" as the regen is dialed back on each axle independently to prevent loss of control (but not dialed back so much to stop the "mushy" slide completely) and automatic light applications of the friction brakes are used to maintain directional control. It all feels very nebulous but the way it maintains directional control is consistently excellent. This feels very disconcerting at first because it's different than what we are accustomed to and it might not provide enough deceleration as it dials back regen to avoid loss of control. Friction braking allows more speed to be scrubbed off faster and feels more precise.
But here's why I've settled on leaving regen on "High". As soon as I get on the friction brakes, regen gets dialed way back and it feels like it's all anti-lock braking. So, while it feels like the wrong thing to reach for the friction brakes while already sliding, it will actually give you even more deceleration and more control. By leaving regen on high, I still have the option to reach for the friction brakes should I need them, but I probably won't have to in normal driving. I love the one footed driving at normal, sane speeds. If I were racing in the snow/ice I would use low regen so I could get on the friction brakes sooner (and brake harder) but in normal driving "Standard Regen" allows me to not use the friction brakes, I just feather the regen braking using the accelerator to avoid heavy sliding. If the regen can't provide enough deceleration, it's a simple matter to reach for the friction brakes. I would also use "Low Regen" on super slick surfaces like glaze ice (and this is probably why Tesla instructs to use "Low Regen" on all snow/ice). I think Tesla has blended the hand-off between regen and friction braking perfectly (at least in all the slippery conditions I've tried it in) although it does feel a lot different from the normal way we are accustomed to driving on slippery, frozen surfaces.
So my first suggestion would be to create a "winter driving mode" shortcut that would automatically set acceleration to Chill and Regen to Low. It will be easier for people to understand than having to change 2 settings because most people people don't RTFM.
I think that could be useful, but only if the "Chill Mode" was modified to simple throttle remapping. There is no place for throttle input delays on snow and ice (and that is what Chill Mode appears to do in addition to throttle re-mapping).
Last but not least, Tesla could also decide to apply more torque to the front wheels when it detects the car going up on an incline.
I'm not convinced that people who think they want front-biased AWD understand the ramifications. The way it's tuned now uses the front of the car as a "safety anchor". I've driven AWD cars that are more front-biased and when climbing a slippery hill, the front wheels slip first or at the same time as the rears. This means when climbing a hill at the threshold of traction, the kind of hill that you may or may not be able to make it up, the crown or camber of the road dictates where the car will end up. Yes, a skilled driver knows how to deal with this and will stop attempting to climb before they slide off the side of the road but there is very little directional control, particularly if the front wheels are slipping before the rear. Tesla has provided a rear-biased AWD that maintains directional control by using the front as an anchor. The back end may wiggle left or right but nothing a little counter-steering won't keep in check (which is intuitive for all but the most beginning drivers).
Experienced drivers prefer rear wheel bias in the snow/ice which is why the performance arm of Volvo, Polestar, has developed software upgrades for AWD Volvo's to address complaints that they are too front-biased. More info about the benefits of rear-biased AWD here:
Polestar software upgrade delivers more rear-wheel torque in all-wheel drive Volvos
As a side note, I can guarantee that, had Tesla delivered a front-biased AWD, it would have been ruthlessly attacked in the media and by winter drivers all over. No matter how Tesla tunes their cars, they are attacked as if they don't know what they are doing.