Yes, I do think those teams have lesser managers. Klopp is the only one in the league who can match Guardiola. Tuchel is supposed to be good, so we will have to see what he can do. But overall, Klopp and Guardiola are tactically superior to other managers, or at least far better at getting the players to carry out their gameplan correctly.
I do think Guardiola and Klopp would get more out of this team over the course of a season. I think some people underestimate how much a well-drilled system can improve a team; there's a reason so many players fail outside of a good system despite looking great at their previous side. They aren't great players, but great as part of a system. I would say our player, though, are easily good enough to beat sides we have been struggling against, and, for me, that comes down to tactics.
I think City's and Liverpool's (last season, at least) players would not be as effective at other sides. That is how useful drilling a side is with a proper system. I think Klopp and Guardiola would do better with this side than we are currently doing.
Of course, players have a big impact as well. I do think Tottenham lack in defence and midfield, but I don't think Mourinho always gets the best out of them in games.