Yeah, we have a player in my group that can take a bit to formulate what he wants to do. It is just his nature, and it is in no means anything as bad as sidelining or distracting other players. Sometimes he may take too long which extends combat and some other game sections, but it is not intentional, and it is not a sidelining or overtly distracting thing, so we abide.
So yeah, is there a benefit to real-timing my group? Sure, there could be some level of benefit. However, I think that it could also cause more problems than it fixes. For my group, it would be detrimental because it could stress a couple players out not having time to process everything. For yours? Who knows. Try it and see and try not to step on any toes in the process because if it does not work, you will want to have players remaining to go back to normal with.