It won’t hurt the standard display. You can remove it again with no damage.
Like with all matte screen protectors, it will affect screen clarity by adding grain and color noise, and it’ll add significant “haze” if you’re viewing it off angle with any sort of light on the tablet. The only other real disadvantage is they scratch over time with pencil use, so you should think of them as disposable items you swap out periodically.
You might consider a magnetic (ESR) or static cling (Rock Paper Pencil) removable paper-like protector. Those you put on and pull off as needed. They’re not as clear as a permanent protector (particularly ESR, which leaves a small air gap) but you’d only use it when drawing. You do need a place to safely store them to the side when not using them.