If 'mutual respect' or 'fear of looking stupid' gets in the way of suggesting something while working in a group (as it quite often does) then you need to work on overcoming that fear (individually) and improving your rapport (as a group)
Now if they could repeat the study after having predetermined some criteria to judge the 'best' solution to a problem, my hunch is that they would find that a group with a good rapport (not a bunch of strangers put together) would come up with the better solution (all other things - e.g. familiarity with the problem set, problem solving skills etc being equal between groups). But yeah, it's just a hunch.