Leonz,
Your post prompted me to call my nearest dealer (30 miles away). He says the 870 isn't known for having loss of hydraulic pressure with age. He says they could test it, but only in their shop.
He suggests replacing the fluid, filter, and cleaning the screen, which I can't remember every having been done. So that's a possible issue, but the problem isn't low flow, but no flow under load. So I don't think that's the real issue unless the break-down of the fluid with age causes the pressure valve to release at too low a pressure. They want $300 to pick up and return the tractor, and probably close to that again for the fluid and labor. I'm not sure I'm up to trying to do it myself.
Most likely I'll wait until I do our fall mowing and see how it does with the relief valve on the mower off again.