The problem with the clinical arguments people are making is that, assuming this reportage is in any way accurate which is a big if, it seems that obese people aren't going to be refused elective procedures, merely be made to wait for a year. Or allowed to have them sooner if they lose 10% of their body weight, which of course may still leave a person obese. It isn't going to mean obese people not having elective procedures, just them having to wait for them. Possibly, of course, making said procedures more risky because of the delay, depending on the condition.
If it were the case that the NHS were going to say, because you're obese and the risks of surgery are greater, the cost/benefit analysis is such that we can't justify doing it until you're at a particular weight, that might be one thing. Although I believe you have to be quite morbidly obese for the risks of dying under anaesthetic or whatever to be significant, we're not talking someone with a 31.3 BMI. But that doesn't appear to be what's happening here, though I should say again I wouldn't assume the reports are accurate.