and the interns get the blame for what they can't book why rooms, but for the people managing them it's just so easy.

Incorrect.

In a well designed system, the intern will be delegated with “room booking authority” on behalf of their most senior manager on the calendar invite.

Using something like this, that would be in the CRDT resolution algorithm.

https://w3c-ccg.github.io/zcap-spec/

Company culture will recognize it is an HR problem.