FWIW - I've specifically tested the Mini versus Kona2 (480i and 720p/59.94 to 1080i) and the Mini delivered superior results. I've also tested the Mini against the internal upconvert of the 1200A and there, too, the Mini delivered a better image. AFAIK, the current Mini doesn't work with 24p natively, unless something's changed in the latest revs. I would add, though, that 720 to 1080 isn't as big of a visible difference as 480 to 1080, so if budget is a factor, then the deck or the Kona will be just fine.
Sincerely,
Oliver
Oliver Peters Post Production Services, LLC
Orlando, FL
http://www.oliverpeters.com