I have a question for you please answer me Did you get a screen protector for your TV? Don't laugh.
I'm not sure how you watch TV, but in my house we don't drag our fingers or a stylus across our tv constantly. That pretty much eliminates the need for scratch prevention measures such as a screen protector.
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I've yet to put a cover on any iPad screen and have never gotten a scratch.
However, I'm thinking of getting this one:
https://www.kickstarter.com/projects/jansapper/paperlike-make-ipad-pro-feel-like-writing-on-paper
Not for protection but because it would add dome friction for the Pencil.
That's what I have. It does add a very nice feel and has the added benefit of being anti-glare (which was the primary reason I bought it in the first place). PSA: It's not measured to be case fit, so you have to be careful that your case doesn't lift the edges of the film away from the screen when they make contact. I've been in touch with the creator of PaperLike about this. I'm not sure if there's a plan to design a case fit version or not.