I didn't bother phoning recruitment, just phoned Swanwick directly, there was no problem organising a visit for me, and this was only a few months ago. Don't believe everything HR say!
My visit lasted about 1 or 1 1/2 hours, and was fairly structured, I think they do quite a few. I was shown round everything and got to sit and listen in with a few controllers, I also visited Southampton airport where they were very helpful as well. It's well worth it, you'll enjoy it. Hope you manage to arrange something