I agree to agree and disagree.
It is a terrible way to describe a bass with an active EQ, because as you said, it is not the same as an instrument with active pickups, which would have a significant line signal boost.
Actually when I first started and got my first Ibanez GSR 200, and it had a battery, and I thought, OK, this is an ACTIVE Bass, thinking to myself, “it must have active pickups”. Then later when I was learning more about the Bass components, all the neck sizes, what a P and J pick up was, what active EQ is, I was pretty confused when I saw the GSR 200 states Passive P and Passive J pickups.
I then asked the question, what is active about it, and thru the help of others here and on YT, I realized they were talking about the EQ being powered by a 9v battery, not the pick up itself.
So, I agree it is a very poor way to describe the bass, however, it tends to be how the general population of aspiring musicians describe the difference between active and passive.
I do agree with everything you said, but since everybody calls their 9v battery powered EQ bass ACTIVE, I was just wanting to state that technically, the Ibanez SR 370 is in fact Active in the sense that the Schecter they were talking about is also ACTIVE. Both basses are actually Activer EQ and not Active pick ups, but IDK how else to describe it to somebody without being very long winded and specific.
It is easier to just follow the norm and say, that Ibanez is active just like the Schecter. Unless in fact they are looking at a Schecter with an Active Pick Up.
And I have had a guitar with active pick ups, and it is very noticeable. however, when the battery is dead, you can still flip to passive and play (like you can in some basses, the Yamaha’a specifically I think have this feature).
I know for a fact it was active pick ups, and not just an active EQ, because this guitar, a Carvin, was made for me, to order, per my selected specifications.