The cheap easy substitute oil is ATF, I was looking into motorcycle shock oils and found a website that had test results and ATF had better ratings than most special oils, I hav used it in many applications with no problems
I use ATF if I don't have jack oil, and never had a problem.
Two years ago I was working on a guy's Model A in his garage and when I tried to jack the car up with his floor jack I got about 1/2" lift with each of the first few full stroke pumps, then nothing. Now, why even have the jack if you aren't going to keep it in working order? It only takes a few ounces of fluid to have a good working jack.
BTW, it's best to store hydraulic jack fully collapsed and with the valve closed.