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.
Edge is also built on Chromium so it’s basically a different Chrome skin. It does do a few things somewhat differently than Chrome. I’m not shilling for Edge as I just switched from Brave (another Chromium browser) to Firefox, and I keep edge “clean” in case I come across a website that doesn’t want to work in Firefox or Chrome.