Logging discovers who visited a specific "bad website" - the fact there might be 10,000 "good websites" in your history is essentially irrelevant. If you visited the bad one then you'll get flagged as a user of the "bad website".

> your small portion gets lost in the haystack

This is not a good security method in this day and age.

It is cheap to watch and alert on everything.

This is not true, for instance say you're an oppressive government and have a method to decrypt encryption type X (https, E2E encryption or what-have-you). There's only so many times you can use your decryption alg for evil purposes before someone leaks that you have it. Https is infinitely better than http, E2E encryption is infinitely better than nothing.

Your "fake" traffic would have to very closely match your non-fake traffic otherwise it could be easily filtered out. And I'm not just talking about User-Agent headers.