Yeah I don't think the name is THAT big of a deal, but even for me it wasn't immediately obvious that Rebirth was part 2 when I first of it announced and I belong to the minority of nerds who should be immediately clocked in. Had to remind myself a couple times which part Rebirth was or if it was a spinoff cause I was not following the hype/marketing cycle at every step.
A much more casual person really would have no idea if it's a spinoff or Part 2 or whatever unless they look a lot closer. It just furthers the notion the Remake series is mostly for fans who were already fully invested in playing all 3 games rather than bringing in newer people.
Like I said I don't think it's a Wii U level naming disaster or anything but it's just yet another unnecessary barrier they put up for this game.
