You need to figure out if any tires are slipping during this. IF any tires slip during the hop it could be something like excessive lash in the front driveshaft meaning that if one diff 'unloads' because its tires start to slip, the other end gets a 'running start' taking all the play out of the parts between until sort of 'banging' back into synched movement again. Sort of like 'wheel hop' on a car if you've experienced that. Grip is lost, parts accelerate rapidly with no resistance, and then when the spinning tire slams back down it's pretty harsh. Cycle repeats rapidly, hopping/banging.
It could also be a reflection of your front to rear tire size ratio being off and requiring one set of tires to slip a bit in order to roll while in 4wd, and it is simply not noticed in the forward direction due to differences in tire traction each direction (ags are directional and have different traction forward vs backward on many surfaces) and weight on each set of tires of the tractor when letting the clutch out. For example, if the blower is not 6" lifted when letting the clutch out to go forward, there is much less weight on the front tires. When beginning to roll forward more weight is dynamically transferred away from the front tires as well. When going in reverse with the blower lifted both the static and dynamic weight load on the front tires is higher, magnifying their traction and any side effects of slippage. If the tire size ratio is out of whack you can tell because the 4wd lever will feel a little 'stuck' while rolling along. In a perfect scenario you can actually pull the shifter out of 4wd while rolling and feel no resistance on that lever.
If it were not tire related it would be clutch related, probably oil contamination making the clutch 'chattery' and the effect is worse when the parts are cold. Also possible that the pilot bearing got dramatically worse and is letting the disc wobble 'out of plane' with the flywheel and pressure surfaces, making engagement weird and inconsistent.
So i'd say go try it again and see if tires slip or not. You might also just try leaving the blower dropped and see if it no longer does it in reverse. If so that would suggest it is related to tire slip.