I really don't care about these claims. Most examples show that good players produce more when a star is out of the lineup - perhaps because of motivation - perhaps because of a different role, or more ice time. And while quality of competition is worthwhile in minds of posters it is simply an
almost completely useless stat in the real world. QoT counts for about 6 times more. It is why I only look at (and I have to do manually) the percentage of time specific forwards go up against the top D (there was very little difference between Tavares and Matthews here, as I have posted before), and the percentage of time specific D go up against top forwards (like McDavid, MacKinnon, Matthews etc). But even that only tells you how much a coach relies on a player in tough situations, but not much more.
Simply put if you are going up against the toughest matchup, say Jack Eichel, your QoC is really high, but it has zero effect on your how hard it is for you to get shot attempts or score goals - actually it is probably easier than if are going up against the second line players who are more focused on defense than the first line in this case. But even then it doesn't really matter, because most games there is very little difference between who the first and second line faces, with the exception of a few games where a coach hard matches.