Yes, the quality of squad available to the coach plays an important role on the outcome of the team in various leagues, if the team are quality enough probably at their own best they might achieve better results than a club with a better coach and less potential players.  If peradventure the both managers are to swap teams then Pochettino will do better managing United than Ten Hag on Chelsea, it's my own observation without being biased I always feel this connection between Pochettino and his players. Chelsea really made an awful decision letting him go so easy, he would have done better in more season to come. Manchester United are keeping Ten Hag for another season, let's see how he does this time.