Idiomatic interpretation possible?

Hello, I'd like to ask you if an idiomatic interpretation is possible in the following sentences.

Original idiom: The cat is out of the bag.

The cat seems to be out of the bag.

The cat appears to be out of the bag.

*The cat feels that it is out of the bag.

(The cat and it are co-referential)

As far as I'm concerned, the idiomatic interpretation is possible in the first two sentences but is it right?

Also, I assume that the third sentence can't be interpreted as idiomatic. (Let's not consider that the sentence itself is a little strange.)

I'd like you to let me know if my understanding is right. Thank you in advance.