I really don't think bb hates jade at all. If that were the case then why did it seem that jade was the favoured lady early on in the show? She had a storyline created for her with this drade thing, which gave her a stepping stone above anyone else, she had a pretty good birthday party and was singled out to be shown she speaks Italian. Not that I minded any if these things. I'm just pointing out that I think jade was liked by the production team. They even had the team get involved with the surly business to help jade out (which I appreciated at the time because early on the ed thing was cringeworthy). She had outside interference, no other hm has had this IMO.
The recent things to me have not been so bad, it's the public reaction that has made them bad, but to me that's reactions from how jade has reacted. The GoE setup was just pure entertainment IMO. Eds biggest rivalry is Tim, jades is Tahan. It was purposefully done to create a reaction and I don't think it is some mastermind plan to humiliate jade. I think because of the public reactions of jade some people are looking into things and thinking there is some kind of favouritism, when simply, I think depending on what the hm's provide will be shown and so for the ones who dont seem to provide much bb needs to create setups to get hm's into the limelight. Just my opinion, not trying to insult or put down anyone here.