I would check with a local tractor dealer/service center on the oil. I don't think there is that much difference in the two.
Also, If your hydraulic pump burned up, it wasn't due to a difference in oil. Could there be a possibility that there was no oil to the pump at the time? Or, did the oil get very hot. Overheating causes the internal parts of a pump to expand and the parts can get tight enough with the expansion that they will gall or wear badly then when cooled down the oil can bypass around those parts and you will not be able to build the normal pressure.. Vane pumps will wear the ends of the rotor and after cooling they will not seal,hold the pressure as usual and you cant get you normal operating pressure back up. Only cure is to replace the internal parts, cartridge in lots of industrial pumps and I assume tractors also.
But If you have plenty of oil and it doesn't exceed the normal operating temperature range, you should have no problem with the pump being damaged.
Also check and if there is a filter/strainer on the inlet side (in the oil reservoir tank) be sure it is not clogged or needs replaceing. Any resistance on the input side of a hydraulic pump can/will cause the pump to cavitate and if bad enough, will cause damage.
If your tractor calls for 10-w-30, that's the way I would go. Should be no problems because of oil. I would look for another problem/cause.
