I would agree with lots of people and say that the next doctor should like the show, or have at the very least watched it. I loved Ecclestone as the Doctor but he hated working on the show and that takes some of the magic away from the audience.
It's a similar thing to Harry Potter - apparently Daniel Radcliffe and rupert grint didn't get on at all and I think that's a real shame. (Went off at a tangent there, sorry...)