I don't know why some folks are making this so complicated. I can't be alone in having repeatedly seen the following two terms used to describe speakers - in online discussions and by manufacturers and/or various web sites and YouTube channels:
In my experience, powered is used to refer to speakers with built-in amplification: they take an interconnect and/or wireless connection rather than speaker cables.
Active is used to refer to speakers with built-in amplification
for each driver, in other words with crossover networks that come before the amplification in the circuit.
The difference between these two might not be clear to some consumers, and some manufacturers and/or hi-fi content creators might not do anything to make the difference clear - for example an active speaker might be referred to as a powered speaker because whoever wrote the copy doesn't know the difference or doesn't realize that amplified speakers exist in both active and passive crossover variants. But that does not mean we need different terms or that the terms we have are inadequate.
If you bi-wire a passive speaker - two amps but the internal crossover still in the circuit - it's still a passive speaker.
If you bi-amp a passive speaker - two amps
and the internal crossover is removed from the circuit and a replacement crossover network is placed upstream - then it's a bi-amped passive speaker but I suppose you could call the entire thing as a whole an "active speaker setup" if you like. But it's still not an active speaker because the amplification (not to mention the crossover network) is not inside the speaker: if you sell the speaker to someone else, they're not getting an active speaker. They're getting a passive speaker with a disabled crossover network.