As was mentioned, oil is a really good source of hydrogen in your welds. Not a good thing.
Also, you mentioned a weave in your repair weld bead. That could induce a good deal of shrinkage stress into the repair and adjacent heat affected zones. Plus the edges of the weave would tend to cool rapidly, possibly causing hardened spots that could crack again.
As I have mentioned in some previous posts. I would be very careful with repairs on hydraulic cylinders. You could cause the cylinder to become out-of-round and leak by the piston. You could also weaken the cylinder so that it could burst; probably not catastrophically but enough to cause risk of fluid injection. Being a log splitter, a burst cylinder wouldn't drop a load like a one used in a hoist would.
I tend to think a split cylinder should be replaced, but if I absolutely had to repair one by welding, I would try a 309L stainless filler metal. I'd grind in slightly, make sure the oil is drained, and flush the crack area with acetone or similar. I would use stringer beads and preheat would depend on wall thickness. As was also mentioned, the seals won't stand a lot of heat. I would treat the repair as very temporary.
For that matter, I wonder if a piece of neoprene would work as a patch. Cover the problem area, shape or cut a piece of metal to cover the neoprene snuggly, and use a number of large hose clamps to hold everything on. If that works, I would still treat it as temporary repair.
Chet Guilford