Not according to my measurements.
I have measured the time spent running around the maps just looking for other players in Halo 3, Reach and 4.
In Halo 3, it took me around 5-10 seconds to get from engagement to engagement (be it winning a fight or losing and respawning… or in the case of Reach and 4, the enemy just running away) whereas in Halo Reach and 4 it took me between 15-20 seconds. This is more than twice as long and is caused by the bloated maps that are a consequence of sprint and other AMM being added to the games.
I haven’t tested H5G myself, but according to other people’s measurements, H5G is substantially slower than Halo 3 at least on a pro level, with matches taking longer to finish with less kills being made in the process: https://www.reddit.com/r/halo/comments/656gyr/halo_5_appears_to_be_substantially_slowerpaced/
I haven’t made objective measurements for Infinite either, but it currently seems to be faster than the last couple of games because sprint speed is only 9% higher than BMS, so the maps don’t have to be as bloated as its predecessors.
