It's indisputable that Bishop was credited with 72 victories and 55 kills. Whether the figures are worth anything remains questionable...
As for The Raid, all we can say fershue is that at some point His Majesty's gummint declared that it occurred, whether it did or not, whether there was Other Evidence or not.
BB may or may not have been the biggest liar since Wyatt Earp, but The System was at least as much at fault as any individual. (Poor
Alan Jerrard!) It may be that BB simply was more adept at manipulating/exploiting that system than anyone else.