That’s why we said “with all things being equal”.
We assume sensitivity, impedance, FR, measurements, etc., are equal for both speakers and drivers.
The ONLY difference would be the 6.5” vs 5.25” drivers.
If the FR and sensitivity of the speakers are equal that means that the 5.25 speaker would play as deep and achieve the same SPL as the 6.5" speaker! They would be identical in sound except for dispersion characteristics which you did not mention.
That is why I said "of the same general design only scaled to a different size"
One popular speaker about a decade ago was the Behringer Truth pro-audio monitor. IIRC, it was available with a 8" or a 6" woofer (2-way design). The general advice at the time was that if you were to use a subwoofer, avoid the 8" because the crossover to the tweeter was not as smooth. I don't know if was the beaming issue that TheWarrior is alluding to or that the 8" driver could not maintain a totally flat response up to the lowest frequency the tweeter could comfortably manage. It was not a bad sounding speaker by any means, but the smaller one had an advantage in the midrange!
That is not quite so likely to be an issue with a 6" driver as it is with an 8" driver (and probably why 8" 2-way speakers are not especially common). And, of course, there are always exceptions such as using a horn to allow the tweeter to comfortably play into lower frequencies.
For example the JBL 590 uses 8" mid-woofs and the horn tweeter allows it to crossover at a low 1500Hz!
The larger Klipsch towers are in the same boat for 8" drivers with low XO frequency!