In my area, there used to be kiosk services in my local shopping malls that were a tablet screen coating service that could apply a really good anti-reflective, smudge free coating on iPads.
This was a really tough tablet coating service that cost approx. $30 to apply and was, supposedly, guaranteed to last for up to 5 years on the device.
Can't remember the name of tablet coating company/service, but the coating took about an hour to two hours to fully cure/adhere to the iPad's screen.
So, you needed to hang around the mall for awhile while this coating was being applied to your iPad.
I do not know if such tablet screen coating services still exist, anywhere or even online.
You have the option of using something like a glass or thin filmed, matte screen protector on your iPad's screen, instead.
Do an online search for PaperLike 2 matte screen protector for iPads.
Best of Luck to You!