> The main reasons square-rigged ships fell out of fashion, as far as I know, are mostly logistically.
True, but it gets more complicated than that. For fast long-distance commercial travel they were replaced by the steam and later diesel propulsion, which both a) were faster and b) required less crew (so were logistically superior).
On the other hand, where sailing is still used (and that's mainly sport and leisure) the square rig is still here, only in an evolved form: the spinnaker. But whenever the speed is not the primary factor, fore-and-aft rigs (primarily Bermuda) is preferred because it requires far less crew. And then again, when the goal is to have plenty of crew -- like in some navy office training -- classical square rig is still highly merited [1].
[1] https://en.wikipedia.org/wiki/Training_ship