The annihilation of the British and no evacuation would put Britain's abilities to continue fighting at risk merely because they'd have 200-300K more men in German POW camps rather than awaiting resupply and reorganization in Britain. They would not be able to help the French all that much.
If France fights on after the capture of Paris, by this point, the avenues of advance open to the Germans are numerous and the country at whole can be blitzed, but it will need to happen once the Germans are able to take a 1 week break to reorganize. The hedgehog defense has been vindicated at this point, but there aren't a ton of natural aids to defense, and the Italians are still fruitlessly pushing west. I am guessing that the Blitzkrieg revs up again towards the end of June and most of Southern France falls by the end of July at the latest. The troops in the Maginot line would be trapped by this point and not able to contribute to defense, and the Germans would be able to occupy a lot of open country, with the same issues that killed the Allies in Northern France, refugees clogging the roads, complete air superiority for the Luftwaffe, and morale problems, contributing to another collapse.
If the French as a whole do not sign an armistice and go into government in exile, with the colonies not being collaborationist, it could effect things, and make the Italians in Africa think twice about attacking east, as they'd have to contend with whatever the French have in Tunisia and Algeria. The occupation costs for the Germans would be much higher as well, and that would have an impact.
Ultimately though, I don't know how this would change things long term.