4XL - take it out, and 80% of the time it works, the other 20% I spend time moving it up and down, and just entering the pin.
It is a lot more than just "password manager == sorted"
That said, I still like it better than face.
My point is instead of wearing gloves you can just avoid touching your face until you wash your hands or use hand sanitizer, which you can't do wearing gloves.
Your skin does not.
If you're concerned about touching things when out wash your hands when you get home (and anything else you've touched while out).
Face ID continues trying to find a face for a few seconds if the sensor is pointed elsewhere.
[1] https://www.theverge.com/2020/5/20/21265019/apple-ios-13-5-o...
However I wouldn't be surprised if it worked. It is not uncommon it hear of stories where raising the price lead to more sales and people regarding the product as of a higher quality.