I solved the problem in a couple of spots on my mill by prying out those ball thingies and putting in regular oil cups.
That's not practical on the table way oiling points, unfortunately -- too much chance of the oil cups getting whacked in use. A couple of those seem to work pretty well if I just press the tip of the oiler spout against the ball snugly, and pump.
A couple of 'em though, I end up squirting oil all over the place the best I can do. I generally oil the table ways by cranking the table to one end, wiping down the ways with a paper towel, then squirting oil on my fingers and running my fingers over the ways until they're covered with fresh oil. Then repeat with the table cranked the other way. Not the greatest arrangement, but it works pretty well, albeit messy.
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Try to make a living, not a killing. -- Utah Phillips
Don't believe everything you know. -- Bumper sticker
Everybody is ignorant, only on different subjects. -- Will Rogers
Law of Logical Argument - Anything is possible if you don't know what you are talking about.