No, that is not true. It has nothing to do with whether or not you have submitted a claim for 2021 or not.
The carryforward is only allowed for the excess of your FSA contribution. You cannot elect to carry forward the full amount and then take the credit for 2021. It doesn't work that way. That would be considered double-dipping and the IRS is not going to allow you to double-dip. TurboTax is not going to allow you to carry the full amount forward and then give you the full child care credit.
