It is common to view Hopf algebras as symmetries of noncommutative (nc) spaces, but in view of nc spaces as categories, and search for nonaffine symmetry objects this is not that sensible. I would like to give few remarks on the role of relative setup, actions of monoidal categories and distributive laws in setting up a more flexible approach to symmetries of nc spaces. These are rather trivial observations which are overlooked by most practitioners of the subject so it is an easy and a good task to present the few principles and examples.