Sorry is "Thank you so much. I will have a serious sit down with the people doing the hiring. I will audit ALL the email threads from ALL candidates, sorted into: Rejected vs. Accepted. I will examine our supposed interview policies and decide if burning our brand to find engineers with experience conducting open heart surgery while piloting a space crafts (Well, if that even is enough experience to give product demos & respond to prospect/customer emails)"

Sorry is "I'll actually do something about this to improve our process."

And yes, you're correct-- You have title-inflated (and probably ego-inflated) "Directors"-- not managers.

Also-- Why can't you hire anyone in the biggest glut of software engineers in years?

If you can't hire people in this hiring climate, the problem is you/your staff, not the candidates.

You and your hiring managers made your bed. Now sleep in it.