In threads here you will find all those references and more argued and analysed by various people, including me. But they do not establish or validate abuse, merely a rather higher level of caning of girls than was typical in contemporary schools within the ILEA area. But then Bacons was not a typical ILEA school, it was, as you yourself note, a C of E school.
I don’t think that there is any doubt that at Bacons girls were occasionally caned on the bottom. But then in that era so they were at many other schools. Again, that does not constitute abuse. And it certainly wasn’t the norm.