I can't speak for the mixer but every R2R I've ever had, the meters moved on recording AND playback.
What you're describing though ...... are you SURE you have the correct side of the tape against the heads?
Having that wrong would create the exact symptoms you're describing.
Also, I asked earlier but I think it got overlooked in the flood of suggestions .... is it possible one of the lifters is sticking and holding the tape off the head a little bit when recording or playing back?