Hydraulic fluids are NOT oils, at least not in the "10W40" sense. Indeed, many of them are not oils at all.
I work with hydraulic oils every day. Some are mineral-oil based, some are glycol based, and some are even ammonia based. The only thing these oils have in common is that they all are very resistant to foaming under vacuum.
Using the wrong oil will FUBAR your seals. Introducing dirt when you change the oil will FUBAR your seals.
Considering the price of the equipment, a few extra dollars for the reccomended oil isn't a bad deal. I do suggest, though, that you pass it through a 5-micron filter before you add it.