How have prostitutes adapted to current social mores?
The answer seems to be that prostitutes are catering to demand for relationships rather than just for sex. To quote an author of a a study on the subject, as cited in a news report:
In recent years, we have come to see a gradual normalization of independent escort prostitution, where sexual encounters have come to resemble quasi-dating relationships ... Our study shows that regular clients of a particular sex provider often come to experience feelings of deep affection, which can progress into an authentic love story.
Here's an estimate reported in the Washington Post that you might not expect:
Approximately 40 percent of high-end sex worker transactions end up being sex-free. Even at the lower end of the market, about 20 percent of transactions don't ultimately involve sex.