Wouldn't that effectively add inductance to the crossover network? Separating the band pass filters then placing an additional X feet of wire (Lenz's Law says that is an inductor) will skew the choke point, thus the crossover design. Additionally, traditional parallel wire speaker cable will also add some capacitance at any considerable lead length, so factor that into your project. I suppose if you simultaneously alter the capacitance and other chokes in the crossover it would not have a detrimental effect. Conversely, you likely won't have gained a thing. You might as well stick magnets on your fuel line thinking you will get 10MPG more. It could just sound really mushy in between the intended crossover points.
Why not take is a step further and build the crossovers into the amp, preferably upstream of the final outputs? That way you could optimize the design of each amp and power supply for its intended output frequency range. I hope your speakers are that good. I hope your ears are that good, too.
Fortunately, it probably won't do any damage to the amp nor the drivers, so it's only copper and time that you stand to lose.
Incidentally, for every foot of speaker lead you install you need to calculate 4X that length as the inductance added to the crossover circuit since it separates the elements of the band passes by that much wire (i.e., inductance and a little capacitance).
I know from practice that even a 4kHz signal at reasonable power and amplitude will create inductance in even a balanced line and it can get bad enough to produce reflected energy in as little as 50' of cable to the point where additional output impedance matching or filters are required.
Frankly, a well designed crossover an larger gauge leads will likely yield superior results.