Boeing: https://www.nasaspaceflight.com/2018/08/boeing-starliner-cre...
SpaceX: https://i.kinja-img.com/gawker-media/image/upload/atk7lokher... (I despise Gizmodo, so it's a deep link for this one)
So if there's things you can do with the touchscreens it's likely to be a whole lot of small things you might want to do in rare non-emergency situations. That's a pretty good fit for a touch screen. You can potentially give the astronauts a huge amount of control over all aspects of the spacecraft without creating a mountain of buttons and knobs. It could even lead to better safety since you know that every single physical control you see is important, and there's less room for mistake when using only the physical interface.
I'm not an expert in this area, so I could be wrong, but my impression is that SpaceX has a pretty good design here. Not necessary better or worse than Boeings approach. It's not like NASA would let astronauts fly on it if they thought it was unsafe or hard to operate.
That said, it does look like they are prioritizing aesthetics over functionality of the control layout.