Towing With Water Pump Switched On. Burn Up Pump??

On my previous 5er I accidentally left the water pump running dry after I did something, I don't remember what. I went back to it a day and a half later and the pump was still running dry. I was sure I must have ruined it so I ordered a new Shurflo to replace the one I tried to ruin.

I am still using that original Shurflo for doing my water transfers from my 60 gal baffle to my trailer. I could replace the rubber parts, but now I kind of want to see if that thing will ever go bad.