I'd lie. If it doesn't impact me at all, I'd lie.

I have a similar kind of boss. She told me day one that she struggles with "maternal feelings". At the time I took it to mean she wouldn't coddle me, and I felt that would be fine as I don't want to be coddled.

But in the past year I've learned she will 100% go to bat for herself, and will ignore anything and everything that doesn't impact her. She'll have these massive projects for someone of her station to be handling, and delegate everything she can to me, and reap the rewards of my hard work. She'll book meetings, then not turn up. She'll book meetings with big, important people, not tell me, then chastise me for not being there and "making her look like an idiot". Everything is about her image, and her brand within the organization. Thankfully her image is kind of ruined as people above and below are now wondering why on earth she got the role in the first place.

She asked me to be an observer for her Belbin role test thingy, and I lied entirely, to just say what she expected to hear.

Thankfully, I've learned an awful lot from her. It's just been by watching her behave and learning how not to do something. My organization has an incredible amount of lateral movement, so I can still climb the ladder, but wow it's been a learning experience dealing with someone like that.