I thought the plan was to clear illness in 4 and 8 (following my suggestion), but I realise @Tim_N hasn’t specified.
Either way, you have 2 misconceptions, as I understand the rules. Firstly, production doesn’t happen in districts in strike or outage, so it wouldn’t generate a new outage. Secondly, it’s only when actions do things to districts with illness that threat is added. Production and event cards don’t cause threat that way.