I don't think this is the case, but it COULD be that the Sox said something like "Hey you don't like Dan Lozano, we now don't like him, we both want to one-up him now so keep our involvement quiet here and we'll match or exceed any offer up to $X dollars".
I don't think the Sox are doing this (I think they're out honestly), but I am a spiteful, petty, vengeance-driven man, so this is what I would do.