Video 1:- Some black women are explaining obesity away by invoking racism. We can say, this is like some religious people invoking the devil on anything that isn't to their liking.
It's much worse than that. They are blaming other people, not the devil, for their (usually but not easily) solvable problem. This tends to lead to retribution and reparations and so forth.
Video 2:- (Race is not invoked) The video revolves around some concept of obesity which is shown around white women. In this case, race isn't invoked, the argument is being fat is normal (I guess) which the presenter obviously doesn't agree with.
I don't think so, the argument is being thin is a privilege. To me that is a result of full-on self-centered victim mentality.
Ultimately, in both videos above, the obese women in question are putting a case forward for acceptance. What would the 'healthy' advice to them be? To wholeheartedly accept their condition? To reject it? What's the middle ground?
That's not my impression. These women seek recognition as victims, with all that that entails, including making their alleged oppressors responsible. In the first video because they are victims of racism, thus fat. In the second because they are fat and thus victimized by thin people.
IMO healthy advice would begin with putting aside victim mentality and taking responsibility for what they can indeed do, research and experimentation with diet and exercise, seeking professional help etc,
IF they indeed need or want to lose weight, which may not be the case. Also, they may not want any advice at all.
I'm too fond of middle grounds but I can't see how "thin privilege" and "fat because racism" are in any way justifiable, which is not to say that I don't sympathize with dealing with weight issues. Myself and loved ones struggle with it, some overweight, others underweight. This just make these "arguments" seem that more farsical and a SJW pity ploy.