I want the old shit made with all the good from back then and all the good of today's games. TNO was great because it brought the franchise to modern times.
TNO encouraged the player to stop a lot more than the new DOOM will. Partially regenerating health, hitscan enemies (i.e. enemies with guns that hit instantly), aiming-down-sights, a cover mechanic, cut-scene interruptions, and the need to look down and click on pickups.
None of those gameplay mechanics are inherently bad, but they do encourage less movement. The new DOOM isn't foregoing some modern mechanics just for nostalgia and old-school cred. It's doing it because the goal of the game is constant movement. The player can run, aim, and shoot all at once and stay in the battle at all times.
Too bad this Doom has very little of the former.
It's irritating how reboot threads always go the same way – people who have no idea what made the originals work saying stuff like "well it has shotguns and demons, looks like Doom to me". The original Doom has very little in common with "tunnels and arenas" style of faux-oldschool shooters made these days. Level design, weapon design and monster design made every encounter in E4 or Plutonia an exhilarating puzzle. From what I've seen, this looks more like a Painkiller type of deal, circlestrafe and watch the carnage happen. Which is alright if you're looking for that, but stop acting like everyone should be happy with that.
The entire goal of the new DOOM is to provide a "constant movement combat puzzle". That's partially due to the mixing and matching of the various weapons with the various enemies, who all pose a different type of threat. But that's also due the level design. Yes, the new DOOM has arena sections, but the arenas are much more elaborate than Painkiller. There's a lot of platforming, shortcuts, secrets, power-ups, portals, jump pads, etc.
I do think the combat in the new DOOM could very well surpass the original Doom. On the other hand, the overall level design probably won't be quite as good. The levels are still mostly open-ended, with secrets, so there are similarities though.
In addition, as I went over above, the core mechanics of combat are surprisingly true to the original game. Also, the tone of this game seems to be pretty close to the original. Lastly, the story is non-intrusive, so the player isn't being interrupted, just like the original. Overall, there's a lot in common.