My friends did not have any online profiles other than AW, and they said that their AW profiles appeared as soon as they scanned their passports. Even if it is not the Home Office, AW shares your passport information with the governments. There's no other way
Passports have an electronic chip, when a passport gets scanned by US border their screen gets filled with data, a combination of what your chip is giving them plus the info they already have from other trips you've made to the US, all that info is way way more important than your AW profile. They want to make sure you're not a terrorist, a fake passport, wanted by the FBI, been deported before etc... There's nothing such as
"your AW profile popping up on their screen". There's million of reasons why your friends could have gotten stopped on the border and none of them have nothing to do necessarily with AW.
On their terms and conditions, its written that they can share your info with authorities
That's normal, all sex work directories share info with authorities, when a police crime investigation, a case of trafficking etc...and police will request a subpoena (which is a good thing). let's say a sex worker dissapears after an outcall, she's found murdered and there's a police investigation, the police once they find out she's on AW they will ask for AW messages between her and the last client. It's pretty common and a good thing for everybody. In any case if you're so concerned just email AW and ask them
"who are you sharing my information with please include all agencies", they should be able to respond (I'm actually tempted to do that myself now lol!)