My rule of thumb: Whichever way sounds best!
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What would the advantage be of adding another crossover (the capacitor) ahead of the HF input of the speaker?
I think the OP would need some decent measurement gear to get that volume control set correctly.
I still am of the view that bi-wiring with the best amp rather than bi-amping with different amps is better approach, but I wish the OP success regardless.