I don't do it in every 1:1, but probably every 3rd or 4th 1:1, I ask for feedback about my own performance and about how they feel about other parts of the organization. I've found it incredibly valuable.
But the primary agenda is your agenda, not mine. Mine is often supplemental and periodic, but the more important and more immediately relevant agenda is yours.
If I need to talk to you about something else, it would be in something other than a regularly-scheduled 1:1, typically.