It's amazing the different uses one can get out of a loader. Your post caught my eye because a few years ago I used my loader to bust the bead on my zero turn rear tires.
Yes - great for pushing your tractor out of a bog and painting roof gutters for starters.
Run the exhaust or coolant through a heat exchanger and use the hydraulics to run a hydraulic clothes press?Hmmm, I would swap that goat for a more manageable pet, such as a hamster or goldfish. But when you invest so much in a tractor, the imagination runs hot in terms of how it can be used in order to save you effort such as what the OP and other TBNers here have devised. But, no matter how hard I think, I still can't think of a way of using my tractor's hydraulics to iron my laundry.