In many antihydrogen trapping schemes, antiprotons held in a short-well Penning-Malmberg trap are released into a longer well. This process necessarily causes the bounce-averaged rotation frequency ⍀ r of the antiprotons around the trap axis to pass through zero. In the presence of a transverse magnetic multipole, experiments and simulations show that many antiprotons ͑over 30% in some cases͒ can be lost to a hitherto unidentified bounce-resonant process when ⍀ r is close to zero.