Do set powers affect Pets?

[Ultimo]

I'm thinking of things like Mutation (Radiation secondary), Vengeance (Leadership), etc.  These powers are used when a teammate is defeated... but does that include the pets?

[Sarion]

Sadly it does not. I wish they did but at the same time it would kind of be a bit O.P. As far as I remember Henchman cannot be resurrected.

[Ultimo]

I suspected as much, but figured I'd ask, thanks.