I don't think so, I think it has its own feel and pace. It's slower paced than twitch shooters like Unreal Tournament and Quake, but has similar ambiance in the weapons and teleporters and whatnot. IMO, it requires more skill than most current console FPS games like CoD (although the bar has been set low).
It's a mixture of arena type FPS games like Unreal Tournament and Quake (when it comes to map design for the smaller maps) and Battlefield when it comes to large scale maps and objective-oriented gameplay.
The game rewards aiming more than most console FPS. For example, 9 out of 10 times the person that can headshot better will win a 1-on-1 encounter. Whereas games like CoD and Battlefield, it is based on whoever saw the other person first (you can body shot them and still kill them quickly). Halo, especially the first two games, is based on learning to headshot with the pistol/battle rifle. It's also based more around team-work than most console FPS games (outside of class based games like Overwatch). If you play CTF, the team that gets a couple of people in a Warthog and coordinates a synchronized attack will likely win the game, as opposed to a team that dicks around and goes in opposite directions (like most CoD games).