RE2make is more focused than you give it credit for. It does have the OTS perspective of RE4, but aside from that, the games function completely differently. The level design is much different, being in line with the classic games. Granted, RE2make isn't a direct translation of the classic fixed-camera games, but it hasn't have to be either. Like the classics, you aren't given ammo, health or money for killing enemies--that's a huge difference right there. Killing enemies just make routing your course to your destination easier, but at the expense of resources--this is the main focus of the game. Puzzles, routing, item management are all intensified in the remake since you are discourages to kill enemies since they tank so many shots.
Compared to the classic, RE2make requires more of the player as they route their course from one side of the RPD to the other. There are also more choices to be made when it comes to boarding up windows (not the most fleshed out mechanic, but better than in the original RE2), and enemy placement (and which enemies you leave behind or crawling without legs) is decontextualized once Mr. X starts stalking you. There is also a lot more optional rooms than in the original RE2.
Also, RE2make has a bigger focus on puzzles than RE2 Classic. They are more involved puzzles, too. When RE2 Classic's lab becomes hallways after hallway of monsters to mow down, the remake still focuses on puzzles and more open areas.
It's not the same, but it's in the same spirit. RE2make in its core design is much closer to RE2 than RE4.
I can see people talking about the REmake trilogy alongside the classic trilogy. The great thing about the remakes is that they don't replace the originals, they are simply a different take. A lot of the core spirit is there, but they are heavily remixed offering a different experience. Both trilogies compliment the other without replacing them.
For me, overall, I prefer RE2 Classic over the remake. I think the gameplay and level design is better in the remake, but I prefer the feel of fixed-camera games. Plus, the atmosphere, soundtrack, art direction, story, and 4 scenarios are way better in the original, in my opinion. But I still accept the remake for what it is. It's not the remake I wanted, but it's a great game that I do think ranks among the best in the series, and is distinctly a RE game of the modern era.