I have a sneaking suspicion the House does know the answer to this and is just giving Team O enough rope to hang themselves. Once they're backed into a corner by their lies, that's when more people will begin talking.
If Jarrett gave the order...that’s game, set and match..you have have someone NOT in the constitutional authority/chain of command..the general officer who received that directive from her, before sending it down the chain of command..would have carefully documented/recorded it..because he would have questioned it,then been appalled when it was confirmed.
The basic technique of any interrogator is to first get the suspect to commit to a story..lock him in...then tear it apart..