For the vast, vast majority of Doom (2016) players who have never played Doom (1993), they would probably completely disagree.
I think it makes more sense to refer to the more relevant, popular, and well-known game as Doom and just refer to the other as “the original Doom” or Doom (1993). Especially since that’s what the store page does, as the other person made clear on the 2016 end, and this store page should make clear on the 1993 end.