Hi Steve,
I did read somewhere that you do the purge then when the transaxle is in the mower you try to cycle the drive controls again (forward and reverse) while the mower is lifted to see if it improves responsiveness. This can help redistribute the oil and potentially remove trapped air.
The instructions above say, NOTE: It may be necessary to repeat these steps in the vehicle to fully purge the IHT. but no mention
of lifting the mower off the ground at the back,. I'd lift the mower off the ground to purge.
Not sure if this helps as I've never needed to fix Hydro Gear - 310-0500 Transaxle..
Cheers
Max.