Answer:
Based on the given text, it seems that Charles is making the claim that Burgundy is more interested in pleasing Cordelia and enriching himself rather than genuinely agreeing with King Lear. To find a strong supporting text from the play, we would need to refer to the specific play mentioned. However, without that information, I cannot provide an accurate quote from the play that directly supports this claim. To strengthen the claim, it would be necessary to find a specific passage or dialogue where Burgundy's actions or words demonstrate his primary concern for his own interests and pleasing Cordelia rather than genuinely agreeing with Lear.