Yes, I'm serious, chemichal questions don't get old, it's like wine, it gets better with time if it has not been consumed
I apologize if I don't use the right terms (I'm french, the chemical vocabulary is kind of different).
What you proposes is really different of what I guessed, which is close to what we call the "halloform reaction" (of iodine on methyled ketone).
I explain why I thought of it :
I made nmr analysis of three different products from a substitued benzopinacol rearrangement, and in each one, I had a signal I couldn't identify in the 1H spectra, at 2.15 ppm and none at the 13C spectra.
The iodomethane match with it (same signal in 1H and a signal in 13C at -21ppm which is out of my nmr borders).
Moreover, the solid I extracted was yellow pale, which is the color of iodomethane (but which can be due to a small amount iodine too...).
So I guess all those reactions can happen, but do you see one more probable than other, with the analysis I have ?
By the way, thanks for the link, I've been looking for it...