This has not seemed to be the case in my experience. I have put quite a few different brands of tires on the rims of my touring bike and the Schwalbe Marathon Plus seemed far and away the tightest fit. It could be that the stiffness of the sidewalls was at least some of the reason they seemed tight but I really do not think they were looser than at least three other brands of tires I mounted on those rims.

FWIW: I really don't like these tires (Marathon Plus). They weigh far too much and have a "dead" feel (assuming that dead is the opposite of lively). I might tolerate them for commuting in a hostile environment, but will probably replace them while still like brand new rather than do a long tour on them.