Some will, and some won’t, to be sure. It would depend on how the flat tip rate is calculated. I would not expect a high end restaurant to have the same dollar amount for their flat rate as, say, a Waffle House. Getting something like that set up would involve some math, perhaps adding all the items on the menu together, dividing by the number of items to get an average price, and calculating the flat rate as a percentage of that so that it would be proportional based on the type of restaurant. I think most people expect to tip more in a high end restaurant, but there are a lot of people who question why they should have to tip more in the same restaurant just because one entree costs more than another.
I really don’t see it changing, but it’s interesting to talk about.