The power steering uses a separate pump and fluid from the HST transmission.
From the RTV-X900, RTV-X1120 Workshop Manual, page 6-M3:
An oil tank dedicated for power steering is located below the operator's seat. That wording is incorrect for units with the hydraulic lift cylinder as the same pump and fluid is used for the hydraulic lift cylinder as for the power steering.
The hydraulic pump for the steering and the bed hydraulic lift cylinder is a constant displacement gear pump. It is illustrated on page 7-S8 of the Workshop Manual. The X900 pump is rated at 2.4 gallons/minute at 3200 rpm and no load, and the X1120 pump is rated at 2.96 gallons/minute at 3000 rpm and no load. I don't know why there is a difference.