Influence is super easy to do with Cosmos. Just spend a few influence on the Court Intrigue page, scan, rinse repeat until you find the one to edit.
A massive thanks for such a quick, full-featured trainer. Just incredible. Glad to see you're looking into the one-turn units and super lord. Can also confirm that the public order is locking to 0, even with trainer option deactivated.
Oh damn, are there quests related to public order now? That could definitely be an issue.