Going by the literary thrust of the Remake, the next game had better be different from the OG in a large way. The entire point of the Remake is to make sure the events of the OG don't happen. Everyone wants that to happen; Sephiroth, Aerith, AVALANCHE... they are all trying escape the "route" the Whispers want them to be on... which is the "route" of the OG. I'd go so far to say that the "promise" the Remake made to the entire fanbase by the end of the gmae was "this will not be the OG". If the other Remake titles turn out to stick to the OG for the most part, the "promise" of the Remake will make... not that much sense from a story standpoint.
In addition, it does the fandom well to not cherry-pick dev quotes. Nomura has gone on record saying that we know know what "Remake" actually means for a few years... which probably means the next title. This suggests the FF7 Remake isn't a Remake at all, but an entirely new story/game. Just one that depends on a series of events that happened prior to the story that is happening "now". And those events are the story of the FF7: OG. He has also said that what is now the Remake started out a culmination of the compilation, which would go on to be the Remake.
All that said... I find it... telling... that the stuff from the OG is the stuff that flows the best and is the least awkward. When things really start to deviate (weather that be the actual events or "why" the same events are happening), it sticks out a bit too much. The old stuff and the new stuff doesn't... tonally fit together as well as it likes to think it does. And... part of me thinks that the sooner the story stops being beholden to the OG, the sooner that tonal dissonance will go away.