If you wait too long and continue to drive a car with fuel cut out problems you very quickly toast the pump, it is liquid cooled and burns up fairly quick. Main reason why you should not run car out of gas. Just saw a news story about the rash of pump failures because of people who don't know this and continue to run pump with minimal fuel in tank trying to avoid buying more because of cost. They are ruining pumps left and right, not realizing how big the repair bill can be.
You need to catch it pretty quick, if you do, simply cleaning filters can have you back up and running fine for a long time.
Next one is installing new pump and then putting say 1 quart of fuel in to start car up. Burns up new pump then, I used to get plenty of new ones back that people did that on right off the bat. Pumps are cheaper than brains it seems.