Active may introduce more noise while passive should be quieter. At least that is my understanding from what I read at Marchand Electronics. They make both passive and active crossovers.
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Most analog active subwoofer crossovers only allow low-pass adjustment of volume level, ect, (the active part)....the hi-pass output is fixed, except for maybe crossover point choice, and in some cases filter type.
An active subwoofer, used with a passive hi-pass filter, is really not different then.....yes?
Note: My comments refer to the price ranges you have been researching only.