In my experience the bad managers are constantly trying to impress their bosses and curry the next promotion. They treat their reports like serfs who are obliged to burnish their image.
The best managers (very few) I've come across are like a mother bear. Protective of their team, running interference and pushing back on out of scope work, etc.
I've only ever had one manager whose calendar was viewable by his team. If he needed a meeting with you, he would ping by email with the subject and any supporting materials and asking you to block out the meeting time in his calendar. Talk about respecting your productive times.
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