I always have a case, but no screen protector, the case extrudes enough from the front to protect the screen most of the time.
I used to have a screen protector, but because it adds extra width it went outside the edge of the case and it broke. And honestly I prefer microscratches over trapped dust particles. The only reason I’d put a screen protector on my phone now would be to replenish the oleophobic coating, and I’d do it, it’s just that idk which brand I could trust to actually have a good one included.
Yes, I own a case and glass screen protector. I went without a screen protector with an old Pixel and ended up with quite a few microscratches that drove me nuts. A friend of mine used a case but no screen protector on his iPhone and I don’t know how he does it. I’d be constantly worried about scratches.