There is no information leak, because the information is never decrypted. The encrypted operations are performed directly on the encrypted data and the still-en

There is no information leak, because the information is never decrypted. The encrypted operations are performed directly on the encrypted data and the still-encrypted result is returned to the client, to be decrypted at their convenience to view the result. That is the magic of FHE. Two identical cleartext values would likely not encrypt to the same ciphertext value (for example, you could get around that easily on the client end by simply incrementing any duplicate value by 1 before sending and then decrementing it by 1 again on return, assuming that is done undoably given the other operations happening); any comparison operation would also likely be encrypted and thus unknown to the server; so the server couldn't just linearly compare any two encrypted values to make deductions.