Richmond was also unusual in adding that girls, unlike boys, must not be caned at all, though they could be slapped with the open hand.
which does suggest that not many LEAs banned the corporal punishment of girls altogether.
A more usual situation was, I think, for an individual school to ban CP for girls. Where this was a mixed school the sort of incidents you describe would probably be inevitable, especially at the secondary level. Young girls are I think pre-programmed to be far more interested in manipulating and controlling people and ‘people’ events than boys of equivalent age. It would be almost certain that some of them would investigate the possibility of involving boys in punishments that they were not themselves subject to, particularly if these punishments would be administered in front of the class, a ready indicator of success!