We have a few sleds and only one ever had a bad oil pump. I think that some of the information on that pump made it into the thread that is referenced above. Unless the pump has been abused - defined as given a chance to eat dirt or other gritty foreign objects, they are essentially bullet proof - after all they are self lubricating. Now, with that said, if a former owner decided to go the premix route and cut off the oil feed to the pump then it could have worn itself out. There is a good test in the manual to see if the pump is feeding enough, too little, or too much oil.
The assumption of many, if there is ever a combustion problem, is that the pump is not feeding enough oil. As I see it, except for a drive gear failure, any other failure of the pump can only cause it to pump more oil than it should - which is what you seem to be suggesting. Doing the test from the manual will help answer that question. If the flow rate is close to specification +/- 50% of what it should be, you are probably close enough to have the sled run acceptably.