I don't buy it. Tolerance towards fatness has risen since the 80s, as have weights; both have gone up at the same time. The more tolerance our society has for fatness, the fatter people get. If more tolerance for fat people were the key to getting people to lose weight then there should be an inverse relationship between the two, but that just hasn't happened.
"Health obesity" isn't about staying obese, it is about shifting social stigmas as they seem to contribute (paradoxically) to obesity[1]. Why is this something you feel the need to support publicly and vocally instead of letting people's health be between them and their doctors (who also need to work on stigmas[2])? The more society makes this a social issue, the worse off people will be when external stressors land [3].
[1] https://bmcmedicine.biomedcentral.com/articles/10.1186/s1291... [2] https://onlinelibrary.wiley.com/doi/abs/10.1002/oby.23266 [3] https://academic.oup.com/abm/article/54/10/738/5901900