I doubt they'd just stop. I imagine in practice this would be more of a parabolic track, and they'd slow to a jog after the peak of their workflow. That would give time for their cochlear fluid to slow down as well.

And even that aside, I'm not sure the lack of gravity would change how quickly cochlear fluid settles. I think that settling is due to resistance from the fluid turbulence of the cochlear canals, not due to gravity.