Your confusion appears to be arising from the thought that, should the second set of Quads receive their signal off the speaker terminals of the first pair (as is the case in series wiring), they will see a signal filtered from the x/o in that first pair; they won't. The signal is just passed along from the first pair to the second, unfiltered. It's just that simple!
However, whereas a pair wired in parallel will have their combined impedance cut in half, in series that impedance will be doubled. Neither is optimum, with a trade-off in each case (minimum vs. maximum impedance). The best way to run stacked Quads is with a separate amp channel for each speaker---either two stereo amps, or four mono. A pair of Music Reference RM-10 Mk.2, Atma-Sphere S-30, or Pass X25 would be great.