I have found that with JY engines removed from front end crash.
I have had bearing go bad and wobble eating the t-cover some.
could be as simple as that pump got drop somewhere from rebuild to parts house.
rebuild could have had a fatty with a beer at lunch with it being a afternoon rebuilt pump.
what you need to check is the thickness at the deepest groove/grooves to see how much meat is left in the cover.
I had a steel wire someone put in a lower rad hose that rusted to pieces, wraped around the impeller then cut a nic groove in the cove til it cut a hole right thru it.
glad I did a comp/leak down test and ruled out blown head gaskets first. I was thinking t-cover gasket or intake gaskets going into it.
I wager that was the cold start you heard thinking it was trans related.
I have a pump the bearing will sqeel when the colling system is empty and fired up dry. i will get to it someday.
this looks like the motovation i need to replace the pump as i do the cam swap this weekend.. i work another 40 bux into the cam swap budget
upt o 570$ now