muntisk,
There is nothing "frozen" in FAA land. You've passed your written (which is a good thing) but you don't hold any FAA certificate to "un-freeze."
With that out of the way, if you are going to do the FAA ATP with a type rating there is a requirement to have a record of training and an instructor's sign off that you are ready for the checkride. For this CAE would have to put you through one of their part 142 classes. They all have a set number of classroom hours and sim hours. All of them will be overkill for someone current on the airplane. But the training center doesn't want to put their recommendation on your paperwork until they know you are more than ready. If too many people fail the FAA will want to know why and require changes to the training program and it goes down hill from there.
I have no idea what is required for an easa recurrent. You would think if the easa recurrent and the FAA type training have the same number of classroom and sim hours they could run concurrently. I'm guessing they don't and that's why CAE says you need more training.