That would change John Casimir's reign post-Deluge. After Deluge popularity of John Casimir vastly increased and need for reforms became obvious. Unfortunately, king pushed only for one reform, that would not bring much good-election vivente rege (during previous king's lifetime). Attempts to enforce VR election was considered High Treason in PLC. That was only part of the problem-John Casimir, under his wife's influence, tried to enforce election of Duke of Condé, who was married to his wife's niece, but had zero blood connections to Vasas and Jagiellons. The fact, that King wanted to make some Frenchman his heir not only enraged nobility, but also forced Habsburgs to take action. Bourbon on the Polish throne was seen as danger in Vienna. Thus Austrians, who sided with PLC during Deluge and supported Polish reforms after Deluge, started to support opposition against King (these other reforms, which King found to be of lesser importance than VR, included reforms of tax system and Sejm-decisions would be made with 2/3 majority, liberum veto (which was still not in use in its 'classic' form, that only started in 1669) usage would be restricted-could not be used to block taxes for example, envoy using LV would need to prove, that decision made by Sejm is against laws of PLC and even then, veto would not make all decisions made by Sejm null and void, only the vetoed part would be gone). Local Sejmiki get instructions to accept reforms, except for vivente rege, while King wanted vivente rege and was careless about rest of reforms.)
So there would be no Lubomirski's Rebellion, John Casimir would not ruin his reputation again and would not be forced to abdicate. With John Sigismund alive dynastic rule in PLC would continue, also pro-French party in PLC would be weaker without VR campaign, sponsored largely by Louis XIV.