It's also the case that my observation while traveling to a number of different places the last couple of months is that a lot of restaurants are still having trouble getting staff. I got into one (crowded) restaurant just before it was closing at 3pm on a Sunday and it wasn't reopening until Thursday. A lot of mid-week closures in the city that didn't seem to be the result of weak demand.
Now, could they just increase wages until they hire enough people? Possibly. But if it's not a coordinated effort, they'll probably lose out to a competitor and presumably higher prices have some effect on collective demand given that eating out is not a necessity in general.
I ate at another restaurant in another city that had explicitly jacked up prices considerably--like maybe 40%. It was empty even though other restaurants in the area looked pretty busy. And service was still pretty bad.