I can't recall it happening to this extent in the era of internet model watching but it happens in California all the time. This week is complex and a slight shift in wind direction could be the difference between 23c and 35c.
It's all about that North Sea-generated boundary layer. There's already a layer of moist air coming in from the sea and I bumped into it several times today driving from Reading to Leysdown - in Surrey it's around 600ft up, but in Kent it's as low as 100ft. I knew I'd hit it as I'd be driving along and - poof - the windscreen and wing mirrors would instantly fog up. Not nice and it required turning the blowers on and off as I went up and down hills!
The models will have to get a grip on the extent, height and depth of this layer and even tiny changes will, as you say, mean a 10 degree (or more) difference in ground temperatures.
As I said before, it's all very reminiscent of a winter easterly, just with warmth being the uncertainty rather than cold!