Some people believe that some of the components in a crossover (or any type of filter) are "in the signal path" and others aren't, and the ones that aren't don't matter. This is entirely wrong and betrays a misunderstanding of how a filter works.
Take as an example the simple RC filter shown below:
The capacitor is obviously entirely essential to the operation of the circuit. If the capacitor has parasitic elements such as inductance, they can be added to the circuit to make a more accurate picture of reality and clearly those parasitic elements affect the circuit.
There's really no hierarchy of significance in crossover components and the idea that some are in the signal path and some aren't is plain wrong.