I suspect like others you had a sub standard rebuilt. Not sure but it is was the prime suspect.
Now how I deal with this we cannot change it as it tests good thing. I simply ask them for an agreement that if I have the car repaired and it turns out to be the replacement part is defective they swallow the whole bill. If it is not it I pay the bill.
Worked well the few times I have been forced to use it. In fact they could not give me a replacement item quick enough. Much depends on your presentation but few clerks like to risk it. It costs their company nothing usually to give you another starter. You have to find out if that starter is good. I suspect it was not.
How did you resolve the issue eons ago I assume?