I have to think the Germans would have been more likely to try it, at least. It would still have been a dicey operation but if they could have somehow established a bridgehead there would have been less resistance.
At the very least the Brits may have been more willing to sue for peace.
First, if the took Dunkirk, the Germans would have had almost 300,000 British prisoners [give or take] as a bargaining chip [along with most of the British Army’s heavy equipment]. So invasion might not have been necessary.
However, the idea of a quick invasion wasn’t going to happen. One: No plan in place. Two: The commander of the German airborne was hors de combat [friendly fire] in Rotterdam. Three [and most critically] the German navy had taken a pounding in Norway. 50% losses in destroyers, The loss of three cruisers sunk, one damaged. One battlecruiser damaged. And, more importantly, no transports, or dedicated LCs in numbers needed to support a large enough force of infantry over a large enough area to gain a beach hold, and soon after a port [neeeded to move in Armor and heavy equipment].