The smart way to go about it, get some high end Deulund bypass caps. Not cheap, but at .01uf you can simply add one to any existing cap and hear improvement without having to buy a cap in some value you might never be able to use anywhere else. Filter caps at .01uf can be used lots of places. The value is too low to affect the circuit, but just enough to smooth and provide rich natural detail.
Next would be resistors. Almost all are the cheap white sand power resistors. Almost anything will be better. Power makes resistors hot, heat increases resistance, resistance lowers voltage. This all happens very fast. Fast enough to affect dynamics. So use quality resistors and don’t hot glue them like everyone does but instead mount them with air flow all around.
Inductors usually have to be measured. This calls for an LCR meter. But you don’t have to measure or even replace inductors to improve them. An inductor is a coil of wire. Coils of wire produce magnetic fields. Magnetic fields interact with wires. To minimize this we place inductors at right angles to each other. At least that is what we’re supposed to do. If your speaker has more than one inductor and they are hot glued flat to the board then you can improve the sound simply by moving one to be at right angles to the other.
Also inductors work slightly better with the signal going from the inside to the outside. Not a huge difference but it is there. If it is easy to reverse the leads then go for it. Don’t cost nothin’.
In case you are keeping score that is 3 crossover upgrades I have given you that cost nothing. And we haven’t even gotten to the rubber bands.