There have been reports of denials, but it seems most places are still issuing them. Applicants have to sign a form to say they are unable to travel, which seems a bit strange, as everyone can travel. But ultimately it's up to the immigration officer sitting in front of the applicant
Might be a job for an agent. I've taken my lady twice to UK and twice to Australia, but they wanted statements of employment, salary statement, title deeds for land she owns. They like to know they have ties to go back to!