Here is the technical answer
RCDs respond to a difference in current between the live and neutral.
Circuit breakers and fuses respond to a high current and will fail if their operating value is exceeded. SO, an RCD will not trip due to a high inrush current. And a fuse will not respond to an earth fault of 30mA, but an RCD will. Two different devices for two kinds of protection. The RCD would operate if your log splitter had a fault to earth.
When a motor starts, it can pull up to eight times its normal operating current.
As to why fitting an RCD will make a difference?
The circuit of an RCD has a pair of coils wrapped around a magnetisable core. This detects an imblalance and trips the circuit. Now, we use coils (inductors) in electronics to dampen changes in current. For example, surge protectors for PCs. Perhaps (and dont quote me on this, i will have to experiment), the coil in the rcd dampens the in-rush current when the motor starts.
Inductors work a bit like a capacitor. I am sure you know that a capacitor will charge and discharge much like a battery and will hold energy as voltage. A coil (or inductor) will hold energy as current! It will also charge and discharge like a capacitor and so will absorb and release energy into a circuit as the current changes.
OK, science lesson over. Hope this doesnt raise more questions.
And finally, just to be rude, if you need an electric log splitter, i suggest you get some roughage!

A clever electrician is someone who has only been electrocuted once. Oh, and lived to tell the tale!