It absolutely is correct and fair to say a different perspective means it's an unfaithful remake. That means that literally everything, from combat to controls to mechanics to design... It all has to change. It's more of a loose reimagining of RE2 than anything at that point.
Also, no one is saying they want "RE2 with a new coat of paint". A lot of people want a REmake in same style as, well, REmake. That game was a perfect mix of old and new. It added new environments, enemies, puzzles, and even mechanics (like Crimson Heads) whilst staying true to the style and core design of the original game. People want that, but for RE2. A fixed camera based game, with lots of new additions, albeit built around the core design and structure of RE2.
C'mon now... that wouldn't even come close to replicating the atmosphere of the original game, much of which was built and predicated with fixed camera angles. Take the first Licker encounter, as an example. You enter a bloody hallway lines with bodies, and have seen something crawling on the window outside. You move down the hallway, with the camera facing your character, and then you see it! It's a Licker, and it jumps down to the floor with the camera finally shifting to reveal it! The Horror! D:
That's what fixed camera angles are capable of providing for a Horror game, and what no other perspective can provide. Additionally, RE2's environments, when viewed from an over the shoulder perspective, would appear much smaller and less intimidating due the camera's proximity to the player. It just wouldn't be the same, and much of the original game's atmosphere would be lost.