So let me get this straight, because DOC says Casey Anthony is still on probation; she is still on probation. This being the same DOC that originally said she was not on probation.
Well this is all I can say, Casey is free to continue reporting to probation and probation is free to keep meeting with her, but if she were to violate after July 17, 2012, the Court would be without jurisdiction to punish her.
Jones v. State, 954 So. 2d 675 - (Fla. 4th DCA 2007) is a very analogous case (second to last paragraph sums it up).
And just to be clear, Judge Perry's order (page 2) reiterates that Casey's probation started when she was released from jail. He only ordered her to start reporting (due to DOC leading her to believe she did not have to report), he never said her probation started August 22 (or whenever).
Finally, the only way I could ever "prove" I am right and DOC is wrong would be if:
Her attorneys filed a motion arguing my position now (which they probably don't see a need to do); or
DOC filed a Violation of Probation affidavit and her attorneys defended on the grounds I state exist.