"Seems like", sure. But a lot of thing "seem" this or that until you actually look at the details and context. Without that, it's essentially meaningless information.
Sure. How many businesses have more employees than "customers"? It's not a perfect analog but it's not unreasonable to ask "what are we really doing here?" either.
Other than some niche tiny firms catering to the stupidly wealthy (the 0.1% and above) like a dynastic family investment fund, I can’t think of any. Can you elaborate on some examples?
The reason it makes sense is the common view of “administrators are useless” is backwards.
It’s the faculty that are replaceable. Students go to a university because they like the administration. It’s like a resort.
(The faculty may be adding value by being in academia at all, but it doesn’t matter for students which particular ones you meet. It could if you wanted to enter academia yourself, but you definitely don’t want to do that.)