There are modified gravity theories that are compatible/extensions to GR, e.g the f(R) gravity theories.
Nobody probably believes MOND as such is some fundamental theory, rather as a "theory" it's sort of a stepping stone. Also MOND is used often interchangeably (and confusingly) with modified gravity theories in general.
Which MOND does: it creates huge problems fitting into GR.
Whereas dark matter as just regular mass that interacts poorly by other means does not.