OK, answering these two specific questions as you ask:
Should the app and car reported range after charging be the EPA or WLTP range (and therefore close to 350 miles at 100%) as per the manual and Tesla webchat, or should it be something else. We are in Europe & I believe that means it 'should' be EPA (may explain the confusion with your US web chat, they use WLTP). The fact is it isn't as per the manual for all of us and that's why we say change to % and stop worrying, if Teslas manual states it incorrectly then so be it, not a big deal to those posting here.
If it should be rated range, why is mine 50 miles too low. Does that mean there is an issue with the battery pack which is resulting in a shorter reported rated range. It's low because the car is continuously recalculating based on recent behaviour & conditions. This forum is clearly the wrong place to tell you if you have a problem with your batteries - many of us try to reassure you that what you see is what we see & I can understand you don't like to hear that. Maybe you bought the wrong car.
I guess we all tried to reassure you to stop stressing as we see similar fluctuating range but unless we say 'yes your batteries are faulty' you won't be satisfied. I won't tell you that, we are trying to reassure and calm you.
Please drive as I mentioned previously & displayed range in the app will go up if that's what you want.