Lateral and interesting thoughts at last. :)
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When it tailors the frequency responses of the drive units so as to blend them into a flat(ish) overall response.
It could be argued that even the tweeter capacitor is in fact doing this and does represent a crossover. It certainly distorts phase relationships and therefore still has to be used with due care and attention to its effect.
Ah the $64k question. I can only give my opinion. A crossover is the seperation of two drivers, protection and sensitivty matching is not, it is just (normally) on the tweeter. So if there are no components associated with the other driver(s) it is not a crossover.
Even if it is just a coil (inductor) on the bass / mid then it becomes a simple crossover (as use by Royd for example) more elements to create steeper filter slopes and elements to tailor the response in band turns it complicated and complex and problematic.
okay so if we now understand what we are all meaning with 'crossover' we can proceed:)
Further to my wideband 3 way xoverless system - This could be lashed up with a decent 6.5 inch full ranger on an open baffle, baffle size to determine the roll off point of the full range driver down to where the bass drivers kick in - bass drivers could be lashed up with an old REL sub on each channel. Add a parasitic super-tweeter on each side and Bob's your mother's brother.:)
I'm actually quite tempted to have a go at that...