Found a thread about this on Reddit (inb4 go back to reddit, shut the fuck up)

https://www.reddit.com/r/conspiracy/comments/x3kn5f/los_angeles_county_sheriff_badge_has_the_swirl/?xpromo_edp=enabled

Mostly stupid redditor blather but one interesting post

PER USER Unofish :LOOK AT THIS! "http://www.scvhistory.com/scvhistory/lasdhistory2011.htmSee pages 20, 25, 26, 59 and 60.The badge with the Boy Lover symbol originated with Sheriff E. W. Biscailuz, who had a badge custom made for him with this symbol."Around 1939, Sheriff Biscailuz developed the Sheriff's Boys Band. This group of juvenile musicians was organized and trained by Colonel Vesey Walker, an experienced and veteran conductor. Under the sponsorship of the Sheriff's Department they appeared in various cities, proudly representing the finest Sheriff's Deptpartment in the entire country.""Another innovative first by Sheriff Biscailuz was the creation of the “Junior Deputy” program in the 30’s. The program has since morphed into today’s Law Enforcement Explorer program."Could this be just another coincidence?Additional information:https://archive.is/vIFRd "During Prohibition, Biscailuz was one of an influential band of revelers who called themselves the Uplifters Club and built their own Rustic Canyon hangout. The exclusive men's group, drawn from the rich, powerful and famous, included newspaper and bank executives, and Hollywood celebrities Will Rogers, Walt Disney, Spencer Tracy, Clark Gable, Harold Lloyd and Daryl F. Zanuck."More about the Uplifters: https://archive.is/XrgdSYet more: https://en.wikipedia.org/wiki/The_Uplifters The Uplifters produced a play titled "The Uplift of Lucifer" "

I asked them directly on Twitter about this a few times over the years. To date they've never responded.

Because they work for jew pedophiles.

For the same reason that a cockeyed good luck symbol became the insignia of the Nazis, Because it did not mean then what it means now and someone thought it looked cool so they used it.