Like Mojo was sayin the crossovers job is to steer the energy in the frequency range for each speaker to that speakers.
By designing the speaker’s frequency ranges to over lap a bit one can fade one speaker out while fading the next in. Hence the name crossover. Part of the crossover circuit equation are the speakers themselves. Also, the speaker characteristics on reproducing what’s put into them are part of the cross over design.

All the components are designed to work together as a unit… its why swapping a speaker component with different characteristics is not recommended.

Hope that helps