New road markings in English town suspiciously wobbly

The white line means “No parking next to the dropped curb” (ie the driveway), so it should have been enough to stop people parking there (the additional US style “No parking” sign on the gate makes me think the owner has issues with people parking there)*. If you look at the area, you’ll see it’s a narrow street, with way too many cars to easily park round there. So I guess it’s a typical neighbourhood parking war.
I blame GCHQ brain control myself, it’s only a couple of miles down the road.

-* The “driveway in constant use” part always makes me laugh. Mate, if it was really in ‘constant’ use you wouldn’t need the sign, the phrase you’re looking for is ‘occasional use’.