It goes further than should not require redisclosure.
The FAQ clearly states numerous times that you are not allowed to change any numbers that are not directly related to the valid changed circumstance that triggers the redisclosure.
Example from the top of p.18:
A loan originator may issue a revised GFE reflecting only the increased charges resulting from the changed circumstance.
Additionally, read my mini rant
here which is totally applicable in this circumstance too. LOs have numerous ways to communicate funds needed to close to the borrower. The GFE was never intended to be one of those ways. It is only an estimate of closing costs. Trying to make it more could land you in trouble with your examiners.