That's easy to believe when you don't say what "qualified" means. For someone to be 'qualified' for a position, it only need be a good decision for that company to hire that person, which may well be a factor of how the company is perceived by the public.
I guess there will usually be plenty of qualified applicants for any particular position. Typical hiring processes may give scope for picking the one that will fit in best culturally, which would be the opposite to diversity.