I bought the Iloome premium tempered screen protector, and it fits perfectly with the Neo Hybrid case, as well as every other case I have. The only cases I can see it being a problem with are the ones that have a face covering. Didn't want to go with the Spigen GlasTR because the adhesive is too strong from my previous experience. The Iloome adhesive is just hard enough to not ever move on its own, but can be removed without cracking the screen protector(unlike the GlasTR). I had a tiny speck that showed up when I placed the Iloome protector on, and was actually surprised how easy it was to remove and put back on after cleaning the speck off with the provided tape/speck remover.
There's no reason, in my book, to pay more for the GlasTR when it doesn't show any positives over the Iloome, but that's just from my experience.
I also forgot to take a hot shower before putting the screen on. Apparently, installing the screen protector without any specks underneath it, is easier when doing it in a bathroom after taking a hot shower. Still got it speck free. Sure did make me nervous though.