In my personal opinion, anything with a remake tag should be following the layout of the original to the letter. Not necessarily the same scaling of course, due to obvious physics differences between games, but as far as the relative position of doors, teleports, rooms, etc. those should correspond to the original map. As HS mentioned there are several maps which clearly take heavy inspiration from dm4, like the teleporter "dead-ends" and the lava catwalks with branching paths, but they execute it in a much different way.
Old School by r_speeds and
Use and Abuse (swelt remix) by FxR|Jude and swelt are also both tagged with the dm4 remake tag, but they are also quite different in so many aspects that they cannot, to me, reasonably be called remakes anymore, and doing so might mislead players who are looking for a truly faithful remake, which maps like
The Bad Place (3) by SpAwN are. In a game like Quake 3 where subtle differences in layout can make huge differences in gameplay, I feel it does matter.
Maps take inspiration from other maps all the time in so many different ways. Cliches, tropes, recurring concepts, etc. exist because they're tried, true, and tested and just because one map started the trend doesn't necessarily mean that maps borrowing those ideas are remakes, unless the layout is identical to the original (scaling differences notwithstanding).