Her defense team had the opportunity to test these matters prior to trial. In order to raise a proper "actual innocence" claim under Texas habeas corpus law, the Routier must show that it is newly-discovered evidence. These items are not newly-discovered.
Plus, until they file their habeas corpus writ, the trial court lacks any jurisdiction to consider their requests. Any experienced criminal defense lawyer would know this. However, her team seems to be chock full of out-of-state anti-death penalty zealots and assorted other media lawyers.
If what they are doing is illegal, it behooves the judge to issue a gag order. If s/he's not doing so, then maybe it's time to let people know this judge ought not be reelected.
But in general I have no problem with legal maneuvering so long as it is within the realm of what is legal.