So I *love* my Sense. But I think that is only possible if you just totally don't care about the machine learning based device identification. Basically I am really not sure that it is possible to accurately identify devices based solely on a single set of current CT's on the mains. Too many devices would look similar, and many things these days (especially EV's) ramp up relatively slowly and without any obvious spikes at startup and so they are difficult to match a signature for.
With that being said: No, it does not detect my Tesla Model 3 as a device, but that is not what I use it for. My use case is graphing the power draw, and my solar generation, and looking at the mains voltage. I guess $300 for that is quite expensive, but there is nothing else really that does this and the app is very good about providing that data in real time. I keep encouraging them to add more non machine learning features - like I want a graph of voltage over time (in addition to the year long graph of current), and I want alerts when the power company has issues with voltage or frequency, etc...
I will say the machine learning stuff has gotten better, it detects certain devices flawlessly (basically like all the parts of my refrigerator it does a great job on - I can monitor the compressor and the water dispenser and the ice dispenser and the ice maker and the defrost heater, etc....
The installation instructions of the Sense do say it can go on another 240v circuit with something else. I prefer to have it on its own circuit so I could power cycle it independently if ever needed (others have reported issues of the Sense going offline if there is a slight power bump, but I have had zero stability issues - though my power is really solid). I think the rules are weird since the Sense is inside of your electrical panel and so it may be allowed to have the Sense on some much larger than necessary circuit. The smallest breakers I was able to find for it were 15a ones. The Sense needs as close to zero power as you could imagine. Like a handful of watts, so capacity wise sharing is not an issue at all.
When I installed my Tesla charger I got some quad tandem breakers that helped me save panel space. Depending on your situation, perhaps you could do the same.
P.S. I did use my Sense to discover my M3 was doing something weird with the charger. It was cycling on and off every four minutes or so after completing its charge. My M3 is in for service right now due to this issue.