Here is a fourth:
4. Do you delegate high visibility tasks?
Managers who don't do this work hard to hog all the glory, spend all their time in meetings with other managers or presenting to higher level people etc. It isn't good for them nor their reports, by not growing the reports skills they have a hard time getting to the next level as a manager. Also they create a situation where they are the bus factor 1, which is problematic in itself.