Cozi is not part of the Weigel family of channels, which includes MeTV, H&I, and Decades. I have Millionaires from both MeTV and H&I, and the episodes run 22:50 on both.
I've been recording The Millionaire from H&I. After editing out the commercials, they are running about 22:50. I don't know if they are cut or time-compressed. I've got about 160 of them so far. Since Decades is a sister channel from the same company, I expect they will be showing the same...
MeTV just started a second version of itself a few weeks ago called Heroes & Icons. I have been recording The Millionaire - 2 episodes per day, 5 days a week, starting at the beginning of Season 1.