Does the non-laminated screen bother you?
Not at all. Of course, coming from an iPad Air, I'm used to not having it. If you look hard, you can tell but it isn't something most people would notice in day to day usage. The bigger factor (again, which I did not have on my Air) for some people will be the lack of non-reflective coating. It doesn't bother me much since I typically use my tablet at home but I'm thinking I'll add a screen protector with the coating (and, obviously, to protect the screen from scratches).
The screen really looks good. I actually compared the screen to the iPad Pro, while I was at the Apple Store. Obviously the Pro has some big advantages; the wider color gamut, true color display, lamination and anti-reflective coating. But, even under the bright lights at the Apple Store, the iPad's screen still looked quite good, the difference wasn't as large as you would have expected given the advantages of the Pro screen.