I remember BGW at Uni donkey's years ago, along with many other similar songs, some mentioned here. I adored the Wild West Show, and must have heard literally dozens of verses. (I also particularly liked a song about a gentleman who seemed to have "...large balls, twice as heavy as lead..." who, "...with a singular twist of his muscular wrist, he threw them over his head, tarara boom..." etc. Anyone know that one? If so, I'd be grateful for the rest of the words which I've forgotten!)
As to the original post, I thought BGW was deliciously funny when I was young and naive, and it was sung by rather juvenile and very drunk lads who roared it out. I don't think one can 'analyse' it for sadism, cruelty, disrespect to women etc. In its day, in the context of men, booze and general merriment, it was just a young lads' rude song. The students I heard singing it were not in the least cruel or disrespectful to women, they were perfectly normal and nice to have as a boyfriend. Dirty/rude songs have their place, and are often witty and funny as well as rude. Just don't sing them in the vicar's hearing!