I think the updated embossed or metal version of the meteor logo is distinct. I imagine that you’ll buy one game called “Final Fantasy VII” with the embossed logo telling you that it’s a remake, or they’ll call it “Final Fantasy VII Remake” either way, no subtitle, not for part 1 anyway.
I imagine Part 2 and beyond will either be digital DLC added to the main game (makes the most sense from a financial perspective and a story-through-line one) or else it will be a simple “Final Fantasy VII: Part 2” or “Final Fantasy VII Remake: Part 2.” Again, I’m hoping for no subtitles although with Part 2 it’s not out of the realm of possibility. “Final Fantasy VII Remake: Reunion” is a likely candidate for a part 2, but this is just layman’s conjecture.
Edit: We’ve mentioned Chapter Cards before, and yeah, digital packs of Chapters 5-10 could essentially replace a “Part 2” in your PSN store or what-have you. These packs could also include patch updates for the base game, to keep graphical fidelity for the game as a whole. Wouldn’t that be neat?