What about managers/trainers of sports teams, if the stars of the team get a significantly higher salary? The manager/trainer might order them around, but does that make them belonging to a higher class, even if they earn way less than their "subordinates"?

you are misreading "owns a share of the hive, decides how many bees to hire/fire, where they work, when they work, what % of the honey to share with the worker bees"

Team managers/trainers do not meet most of those criteria. At most the GM meets the majority of them. Only the team owner would meet all the criteria.

What about all the trades people that own their own small businesses? Like some young guy with a grass mowing business?

That hive is too small to matter. Kind of like I don't really concern myself with all of the wildlife in Australia that would like to eat me. It doesn't affect me in the least day to day.

Amazon was once a small business. It's possible to grow that hive but the vast majority get exterminated.

Tradespeople with businesses are still pretty much tradespeople. At a small business the owner is basically a foreman

It’s rare that those businesses scale to the point of where your role is purely abstract management layers removed from the front line workforce.

Players have not been subordinate to managers (in most sports) for decades.