Well it all depends on context. But to me acoustic in general ought to mean unamplified. Music with no obstructions or equipment between source and ear. This is not a moral judgement, nor should it be a source of anger. I play amplified sometimes, acoustically other times. Simple.
I would make an excerption for term acoustic guitar. That is clearly a technical term, distinguishing it from the electric guitar, and it will still be an acoustic guitar if its got a pickup
Unplugged ought to mean unplugged (you might naively think). Though of course it actually means plugged in. That is a curious anomaly.