Test your skills
I came to know that iPad has a fingerprint-resistant screen, but then you said the fingerprints show up disgustingly. True?
There are two kinds of touch systems, resistance and the capacitance. In resistant system you have to touch the screen little bit harder than the capacitance system.
In the resistant screen because of touching little bit harder in the screen you can see your fingerprints when you turn off the screen.
In iPhones they had a special oil resistance layer to protect the screen. I pad also had that oleophobic (oil-resistant) coating as same as iPhones. So all you have to do is firmly wipe them with a suitable paper that comes for these kinds of works.
I hope this will help
The iPad, like the iPhone, has a capacitance touch system and the screen is protected by a special layer, which is oil-resistant. All you have to do is to wipe the screen firmly using a suitable paper that is specially made for such tasks.