I don't recognize the rexroth number directly, but if it is truly a variable piston pump I would pass on it for a logsplitter.
-A pressure compensated pump is designed for closed center valving.
-It can be used with open center valving, in that it just runs full stroke all the time and acts like a gear fixed pump. However, most piston pumps need to work against some load or the pistons/slippers start to flutter on the internal swash plate. It needs a load of maybe 200 to 500 psi minimum to keep the slippers down. So cycling a cylinder back and forth with minimal load can eat up the pump. Have seen that several applications on fan and motor drives.
-PC pump will be less circuit efficiency when using a closed center valving with a log splitter. There is more throttling across the valves when acting at part speed. That is a more complicated topic to explain.
-Pisotn pumps are more sensitive to case drain pressures, and inlet suction pressures. They can't take the abuse of cavitation like a gear pump.
-More significantly, if this is 'constant pressure unloading', or more commonly called load sensing, it normally needs a pilot signal to work right. The pump stays at low standby pressure, say 400 psi, against a closed center valve until one of the valves in the system is shifted. The load sensing small pilot signal then tells the pump to compensate to a higher pressure, just enough to move the load. Load sensing is very efficient for energy and reducing sound, but beyond the scope of most homeowner projects.
It can be defeated and turned into a standard pressure compensated pump by teeing the outlet to the load sensing port, sending the outlet presure back into the LS port, which causes the controller to take the pump to high pressure all the time.
So, I would not use for log splitter cylinder drive, but if you can drive it from the engine some way and use it to run the clamp cylinder circuits for a processor, log lifter, or other intermittent use cylinder, that is perfect. It is what variable PC pumps are designed for.
kcj