Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads

We associate, in a functorial way, a monoidal bicategory $$\mathsf{S}\mathsf{p}\mathsf{a}\mathsf{n}$| \mathcal V$toanymonoidalbicategory$\mathcal V$. Two examples of this construction are of particular interest: Hopf polyads (due to Brugui`eres) can be seen as Hopf monads in $\mathsf{S}\mathsf{p}\mathsf{a}\mathsf{n}\mathrm{\mid }\mathsf{C}\mathsf{a}\mathsf{t}$ while Hopf group monoids in a braided monoidal category $V$ (in the spirit of Turaev and Zunino), and Hopf categories over $V$ (by Batista, Caenepeel and Vercruysse) both turn out to be Hopf monads in $\mathsf{S}\mathsf{p}\mathsf{a}\mathsf{n}\mathrm{\mid }V$. Hopf group monoids and Hopf categories are Hopf monads on a distinguished type of monoidales fitting the framework studied recently by B"ohm and Lack. These examples are related by a monoidal pseudofunctor $V\to \mathsf{C}\mathsf{a}\mathsf{t}$.