“The same principle applies though.”
I don’t believe it does. The “deal” would not be something the repairman would ever conceive of offering up whereas the hooker would do so by definition.
Now if for example the prostitute would have been a “dancer” or “strip-o-gram” that do not routinely have sex with their clients in the course of their job and sex was “forced” it would indeed be rape as well.
The principle here is that both would be victims of a sex crime, and it doesn’t matter what they were offering up for sale.