HST machines & most modern tractors have a common sump hydraulic system. All the fluid ends up in the transmission. Saves having to stock, check & change multiple fluids.
I haven't borrowed or rented any impliments yet, but the contamination concern has been in the back of my mind as well.
Plan B is to pull off the QDs or hoses & drain the hoses & cylinders into a bucket. I did that on the cylinder for my used 3pt trencher. Of course I needed to replace the QDs to fit my machine as well. May not have bothered if the QDs had fit, but it was good piece of mind.