I also am failing to see where the problem could come from. Can someone explain how the flop was dealt because as Mr Quandary said above, we are all trained to deal the flop one card at a time. Indeed, I had a similar situation on a cash table with Mr Zerofive when I dealt the flop without burning but just turned the first exposed card into the burn and added a card on the end to complete it.
And as for dealing "true" turn and river cards, I thought that only applied when there is betting on further rounds, but I could be wrong.