Two problems with that: his bonus would add to the stack so Jillian would know he was there, and Parson would see him. Now you could claim that's why the Archons were so powerful but I feel cheated.
Parson is going to be really mad with Wanda. Had he known this could happen he would have taken initiative. Had he started the fight there would have been no thinkagram to Ansom. Wanda cost him this battle.