Yes, why not? It makes a great deal of sense. I've not done exactly what you're proposing, but something similar with a point source tri-amped set-up. The performance/cost ratio is very high. Getting the passive crossover out of the signal path between amp and driver is just one of the big advantages.
But you asked why NOT? Cosmetics, brand name recognition, a slightly more complex set-up.
But you asked why NOT? Cosmetics, brand name recognition, a slightly more complex set-up.