I've never known one that didn't, and honestly would not trust one that failed in their due diligence obligations to their investors. Every mortgage that I've ever had (more than I care to count, going back well over 30 years) ran a final credit check within 24 hours of closing, and most of them did it early on the closing day.
And yes, I had one that kicked back because I had applied for a credit card. It eventually closed but we were delayed for 3 days while the underwriter reviewed it. I was buying a refrigerator for the new house and got suckered in to a 10% discount for charging it to a Sears card, which I did not hold at the time. "No sweat," says the sales associate, "We can get you one in a few seconds." I had to prove to the underwriter that we had cash to pay for the fridge as we were right at the limits of qualifying for the loan.