That's not the point, there are clear definitions what a passive and active transducer are, and magnetic pickups are strictly passive. And that's kinda where that argument ends. Amplifying the signal of a passive transducers doesn't turn it into an active one.
Call me biased on this, but I study electrical engineering and I think there is a clear difference between technical descriptions/definitions and marketing terms. And the usual statement is "all (magnetic) pickups are technically passive", which is simply correct. What is sold as active pickups are passive pickups with a preamp, just like an active bass has passive pickups with a preamp. The only difference here is that one is designed to work effectively without the preamp and the other one isn't.
And, as we see in this thread, the difference isn't as clear and obvious to everyone. I bet salesmen, marketing teams and of course individual people get this wrong all the time, I even had someone tell me before that active pickups work fundamentally differently than passive ones exactly because of that misnomer. It's just a misconception that could be avoided if we just use the proper terms IMO.
I'm just curious, do you have the same objection to "active speaker cabs?"