Dodgealum...There is no magic! No matter who designs the crossover each section, which is worth 6 dB, causes a 90 degree phase difference between Hi and Lo. Both Hi and Lo phase vary with frequency, but the difference remains 90 degrees. Of course, as you go away from the filter break frequency (crossover frequency) the amplitude of the Hi and Lo signals diminish so that phase is not a big issue.
So, a 12dB crossover has a phase difference of 180 degrees, and if you hook the tweeter up with reversed phase the audio output will be back in phase. With the 24dB crossover that you mention the phase difference is 360 degrees, which is the same as zero, so the drivers, both connected with normal polarity, will be back in phase.
So why do people like 6dB crossovers? The audio output of the drivers may be phase shifted from the electrical signal, and, at a selected frequency, can also be adjusted by positioning of the tweeter with respect to the woofer. So, with tweeks, a 6dB crossover can avoid the 90 degree phase shift, at least at the crossover frequency which is where it matters most. FWIW, 6dB crossovers also require the minimum of crossover components.
A passive 24dB crossover is a tough nut to crack, and therefore rare, but is easily implemented in electronic crossovers, where it is very common.