I was told that technically, yes, the reimbursement should go back to the HSA. The money you used to pay for the appointment was pre-tax income. If you spend the reimbursement check like regular money, then it is money that has not been taxed. Technically, it's a no-no.
I've been in the same situation and it's a hassle for me to put money into my HSA. Since the money involved wasn't much, I just pocketed it. And now I can never run for President because I'm a tax cheater.