I can understand Elizabeth H coming out, as she is already famous.
No one knew who this woman was. No one cares.
I've seen quite a bit of press coverage around it - due to Harry writing a few line in his book making it news - then the press wanted her side which then comes is another story of how his version differs to other's.
He made it news.
Ironically, if she had waited till some tabloid blackmailed her, she would have exposed that blackmail story with another publication - and that would have been a more juicy story (get how these things work?).
No - they all tend to use same tactics so often stick together to protect said tactics and wider industry - and at same time there does exist a history of papers finding out rivals have an exclusive and trashing the story often by going after person giving exclusive.
They are supposed to be behaving better after phone hacking scandals - but this woman like me in in her 40s will have seen decades of witnessing UK papers getting away with some poor behavior - trying to be "clever" like this would likely blow up in your face - she got her side across comes across well gaining some sympathy and possible got some money and the whole thing dies down quickly for her so she can get on with her life- best possible outcome for her really.