You know what's even quicker to make with even less chances of fucking something up?
A port. Like what Rockstar did with RDR1.
Remasters often tamper with the art direction of the game in subtle but still damaging ways that overall fuck up the mood and aesthetic of the game even if it's not to the same extent a bad remake can. Like the Wind Waker HD remaster screwing up all the lighting in the game and messing up what was otherwise a very pristine and clean cel shaded style, or Sonic Adventure DX and its terrible plastic models overlaid over what's otherwise very good looking low-poly environments.
99% of the time, what an old game needs is simply a higher resolution and framerate to be suitably presentable on a modern console especially if it's coming from sometime after 2002. Tampering with the original visual intent of the game almost never goes well and it's safer to just give people the same game on a new system.