It really depends.
Some games are so old that the technology needs to be sorely updated for modern gamers to be able to understand the controls, and "upating (the controls) for modern audiences" can be good.
Further, older games often have some pretty awful stereotypes in them that don't need to be preserved so we can remember them.
I know Disney's Bambi isn't a video game, but I'll use it as an example that's being re-made. Bambi was made in 1942, and a massive amount of cultural references and ideas just don't make as much sense in the modern era. There are literally things young people today would be like "what now?" in films that old. Sometimes "updating for modern audiences" is removing stuff that just doesn't make sense anymore, or people don't recognize or understand.
Even further, it used to be that "getting updated for modern audiences" was the norm. Anyone remember that hokey fucking Romeo & Juliet with Leonoard DiCaprio in the 90's? Yeah, that was "updated for modern audiences" and it was a smash fucking hit. Back then, updating for modern audiences meant setting it in Verona instead of Venice and swapping swords for guns.
Like if you're dealing with games that were always meant to frustrate and offend like Postal 2 or Conker's Bad Fur Day or Redneck Rampage, you're probably not gonna have a lot of people happy to "update for modern audiences" but there's not much to update about campy schlock humor anyway.
So yeah, sometimes its not great, but I think the worries about it are overblown.
In movies there used to be a joke about how "the black guy always dies first" in action/horror movies because it held true for a long time. Black characters were given bit-roles that were quickly written out of movies. That is no longer the case, but you don't see movies that don't kill off black characters right away as being advertised as "updated for modern audiences" because that's just silly.