All Core vs except Luke JR I think which actually wants to make the blocksize smaller, want to eventually make the blocksize higher.
That is correct. However, BU & their fanatics are not concerned with whether their "teachings" are related to reality/the truth or not.


I think the biggest problems anti-Core guys have is that they don't trust them. Core hasn't said a specific date where this blocksize increase would happen, I think they will not stop complaining u ntil Core gives a clear date to raise the blocksize after the segwit activation, but I think if Core did that, they would still complain and don't trust them. They just hate them now no matter what they do.
It is not about the hate but its all about the monopoly. Both parties wanted to monopolize the bitcoin mining industry and if they will succeed they will have total control over the production of bitcoin. Thus it will mean huge profit from them and it could mean higher fees for us. What we need is the current bitcoin without bitcoin unlimited and without segwit. Bitcoin is good as it is.