A look at how the USS Enterpise-D is massive. Like insanely massive. Like there's no reason only 1,024 people should be living on it. Or 1,019. I think it was 1,014 once.
Let's even say that EC Henry here is wrong, and there's 1,024 crew plus civilians: we're still looking at under 2000 people here, which means best case scenario is to double his highest density estimates.
So imagine just how empty things must be on Starbase 74: that spacedoor you're about to see can swallow the Enterprise...
Related: Of course the Kelvin universe throws any internal logic and consistency out the window, building a starship (I refuse to sully the name of the TOS ship by mischaracterizing this as being named the same or even of the same class) far more massive than the Galaxy-class.