Not all cylinders are rated by their manufacturers for the full pressure in the longer strokes. I don't believe a 1 1/2" rod in a 24" stroke would be rated for 2500 PSI by a reputable manufacturer. Prince uses 1 3/4" high-yield rod for their tie rod cylinders, and then rates them for 3000 PSI. They used a standard quality 1 3/4" rod for their 2500 PSI line. Their welded cylinders use 2" standard rod.
I agree with Butch about leaving your rod-to-pusher connection loose, and making the pusher well guided. It should never put any side stress on the rod.
As for "figuring" that the cylinder sellers must have made it good enough - when you buy cheap, you get cheap. There are many grades of rod, but they all look good with chrome. When we cut or machine old rods, we find tremendous differences in hardness and toughness.
While I'm sure there are plenty of logsplitters with 1 1/2" rods still working, there are also plenty of them which have been replaced because the rod bent. A lot of them came to us for their second cylinder.
The only thing more expensive than buying a good cylinder is buying a cheap cylinder, throwing it away, and then buying a good cylinder!
Don