Yes. The role of good management here cannot be understated. Good management (all the way up) is the difference between saying "be more productive, here's an AI subscription" and people understanding what types of usage are actually wanted and useful.

As it is now, with just the vague handwaving many managers are doing, people are hearing "You should reach for AI immediately anytime you get an input that you technically can paste into the AI" - so we can't be mad at them if they're just doing what they think they're being told to do.