Why? I've been running pi-hole on the home network for over 2 years already, and indeed sometimes I get complaints about shopping sites not working, but there is always an alternative site that does work so we order there instead. Just last week it even saved us money because it turned out a different site had the same product at a significantly lower price.

Apart from a few non-important edge cases literally every major site works without problems with a pi-hole. I think 'simply stop using sites that refuse to work unless they can track you' is a very valid and workable solution.