It would seem almost trivial to create a believable linkedin profile that could fool anybody. I get linkedin requests all the time from people who I don't know who are trolling to build up a profile.
And "business cards"?
Obviously, cops can fake all that stuff. But if you're just an average sex worker, the law probably doesn't have it out specifically for you, and it's a lot lower hanging fruit to just go for the careless sex workers who don't even verify.
The amount of time/effort they would have to spend (while not necessarily a lot) wouldn't be justified by the probably non-existent increase in the total busts, unless they had an axe to grind against a specific provider for some reason.
source: i moonlight as a male prostitute. and i disappoint a lot of women.
Interesting thought. Almost similar to why cops don't do a better job of trapper speeders. And why they don't even catch speeders they sometimes just lurk in plain site to slow down traffic.