Lie? Oh, no, that would violate their own principles! ;-)
It's ironic how the BSA will complain that people are trying to destroy them with lawsuits when lawsuits is exactly how the BSA got started. I was just reading that there were many other boy scouts organizations, and one was called American Boy Scouts. BSA sued ABS to make ABS change its name; it did, to United States Boy Scouts. Then BSA petitioned for the congressional charter, and then it sued USBS to get it to stop using the name "boy scouts". One source said USBS changed its name again to American Cadets but then disappeared eventually. Meanwhile, the BSA proceeded to swallow-up the other boy scouts organizations in a more "friendly" manner. In 1989, the BSA reportedly "threatened" Wilderness Scouts with a suit, though I'm not sure what is meant by that. The Wilderness Scouts still exist - I forget which state they're in.