I know one woman (well, actually her lawyer) who refused a get because they were hoping to launch a smear campaign on the husband later, but he botched their plan. They were also hoping to use a bais din that allowed the wife to attach lots of extraneous paperwork to the Get (congress style) but he botched that too. So they refused the Get but didn’t tell anyone it was offered.
Apparently slime can run in both directions.