I believe the Schroeder Method has the potential to be disruptive in several respects, including the scenario stringreen has suggested. That scenario I would not think a suitable template to suggest that any cheap cables in Schroeder Method could best any expensive IC in single configuration.
I theorize that when both cables, low end and high end, in their respective sets were configured in Schroeder Method the high end cable's superior performance would reassert itself. Only comparisons would answer the question with some certainty.
At the moment I have been focused more on the breadth of applicability rather than comparisons to ascertain relative thresholds of performance between inexpensive ICs and expensive ICs. It may be years before such things are known with a high degree of certainty. Typically one does not have multiple sets of cheap and expensive ICs sitting around ready for such comparisons.
At this time I have reason to believe that the Schroeder Method is a case of a rising tide lifting all boats. :)