Maybe, but personally I don't care and feel that difference much at all - both can go and d... forcing me a specialized advertisement just because I use your unrelated search site with the wrong and not your browser is the same as advertising when I visit another browsers website that is not you - to me.
But to be honest, I have a strange relationship with unasked and unconsented advertisements at all, imo they are one of the biggest unnecessary wastage sins today ;)
This act basically says "Hey, use Edge and you cannot trust what you are looking at is what was transmitted".