My daily driver is also a model 3 and I do sometimes interact with the screen while driving. For example if I need to see alternate routes while navigating or if I want to check my power consumption. Or if I want to listen to some Internet radio station.
I think they key though is that you're not constantly messing with the controls. It's up to you to pick the right moment and to limit your "disengagement". This is very different than e.g. texting someone while driving.
There are many things you can do in vehicles without touch screens to get distracted. You can even get distracted purely in your head while thinking about other things. Maintaining focus on what's going on while driving is on you.
I bet the overall reduced attention span due to social media and other effects has a big impact on drivers being able to maintain focus while driving.