I be more nervous about the variable rate displays than the curved screen. The other issue is number of that model released. The more that are in use, the greater the case selection, more or less.
Phones with little bezel protection need a case or they will get destroyed. A good case should have side display guards slightly higher than the display while the top/bottom ones should be even higher to protect from face plants.
Those guards also help prevent accidental touches, make the phone more usable and easier to hold.
The case should be able to soak up repeated corner hits and face plants unto concrete from 2-4 feet without damage. Not plywood, concrete.
The only issue I have with a curved display is when cutting/pasting near the edge occasionally.
Samsung makes better use of the curved area though by nesting apps there so it's not wasted space. I don't think Google does that although there may be 3rd party apps for it.
It's easier to keep clean, at least with case I'm using on my N10+'s. That surprised me.
I now prefer a curved display for viewing/using although it took some time to get there
Biggest disadvantage is getting a screen protector that holds down well at the corners, less so at the curve portion. Hydrogel wet apply protectors work well and are relatively easy to apply ie Gorilla IQ Sheild is one brand. Without a screen protector it will get scratched... just a matter of time.