You own video is showing how both games are essentially the same. But... whathever. I have discussed this topic too many times. Remaster VS Remake...
Taht's what a Remake is... I think you are confusing Remake with Reboot/Reimagining(Like FF& Remake; I know they used the word Remake, but it isn't)
My (locked) thread about how difficulty should be a decision for the developers, not the gamers.