Oh man, as someone who has driven a tesla in the rain where the automatic wipers didn't work and I had to frantically dig through touch screen menus on the highway, this sounds all too real.
There's still a physical button for the wipers. On the Cybertruck it's on the steering wheel. When you press it to wipe (generally used for spray-washing the windshield), the entire menu pops up where you can choose the speed, frequency, etc.
Mine also has a physical button, but it only triggers a single wipe. My workflow is usually press physical button, then touch the manual setting on the touchscreen to continuously operate.
Wipers in on the stick or a dedicated button if a stickless version. Why not use that? It also brings up the selector on the screen if it the automation doesn't kick in after the manual trigger.