This would be correct. Turbo Tax provides those direct deposit routing and account numbers on your behalf for your refunds. There is no reason in the world that it wouldn't go to those bank card accounts. The correct routing and account info is given to the feds from TT.
I'd keep watch on your cards for the next day or two.
Feds send out direct deposit instructions to banks around 5-6 times per day and I have seen them hit late in the day and sometimes early Saturday mornings.
Sourcs:
2 years working for Varo Money Customer Service Supervisor
