The player speed in Doom is completely unrealistic, which is fun, but plays against immersion.
In Quake, the player speed is less insane, more in line with human abilities, and it makes Quake feel more real. BTW the same is true for System Shock, where the player is not a sprinter champion at all (but can obtain a skateboard, but this is another kettle of fish).
This is true of virtually all FPS games. Realistic movement speeds feel unbearably sluggish in game.
I actually find that Quake’s running speed is still quite fast by modern standards.