Does screen protectors burn iphone 5/ipad mini screen?

I heard somewhere that screen protectors of any kind cause your screen to heat up and lose pixels over time and that there's no need for them anyway because keys and stuff can't scratch or harm your ipad/iphone screens in anyway anymore and new screens for ipad mini or iphone 5 are somehow scratch proof. Is it true?
So I'm kinda asking 2 question here.

I don't know i have screen protector for my phone, and it seems to be working well. It protects your screen from scratches. Just make sure it is of good quality, and don't buy the very cheap ones. You should be fine then.

Complete nonsense.