Once you know something .. You know
Knowledge is pretty much unforgettable.
You can legislate against gathering knowledge -- it's called spying, or, voyerism and the laws are reasonably effective.
But asking a business to forgret who bought some thing from you or who walked into your shop -- you are now in a legal swamp. You need to keep records about who was sold what, you pay attention when Boris Johnson wanders in but does not actually buy. You cannot legislate forgetting. The current meatspace situation has always been fraught with high profile cases -- slander, gagging orders D notices have always resulted in controversy and mixed public opinion.
So what not go for the Scott McNeally approach and admit you have no privacy on line.
This would work a lot better than thinking you were somehow protected by a government who's elected representatives were funded by the companies that gathered your data.