No, the House was to impatient to go through the normal legal process to get the information they want and get a court ruling on whether executive privilege applies. You want to set the precedent that Congress interprets the law, when that duty is the domain of the court system and a dangerous idea in its own right.
And that failure to complete the investigation and asking the court to do the House's work for them is a basic failure, without which, you would have the evidence you want and thus no reason to complain.
So I conclude that you complainant is not really about not getting this procedurally right, but not getting the predetermined outcome wanted from the process.