We know that T-X had some role in what happened on Judgement Day in T3.
It programmed some of military's robots to attack.
But was that 100% contained to dealing with localized situation of terminating John Connor?
In other words, did anything that T-X do increase the likelyhood that Skynet would decide to attack humans? (as opposed to decrease the likelyhood that humans would succeed in stopping the attack that was already decided on by AI).
I'm looking for canonical evidence, not guesses (e.g. movies, scripts, commentary, interviews, non-movie franchise works).