I definitely consider Touch ID to be far superior to Face ID, especially is a world full of masks.
I still prefer face id to Touch ID.
A compromise for me would be letting my watch unlock the phone by proximity as it can do with my Mac. The watch unlock is good enough that I don’t miss Face ID on Mac.
Also nit pick: you don’t “press” the button. In fact there is no physical button; there is surface that acts upon touch and tiny hammer hits the surfec from underneath, making it feel like its a button. I was in shock to discover that once i turned off my iphone 8 first time and though the button was broken because it didn’t “recoil” or made its typical behavior noise.
There are reasons to prefer TouchID to FaceID, but that isn't actually one of them.