Now, I'm not in favour of shaming people for their personal behaviour. But if we can shame people for not wearing masks or having dinner parties with their friends, we can shame them for being obese. Either we can shame people for their personal behaviour, or we can't.
Which is it going to be? Consider carefully your answer and the consequences of it.
These two things are so very different.
Comparing the behavior of changing one's lifestyle with regard to the way they eat, exercise, sleep, and otherwise take care of their body for what is (mostly) personal benefit shouldn't be in the same conversation as putting a mask on to go into a grocery store for 30 minutes for the benefit of society as a whole.
If you were going to compare it to another behavior it's much more similar to (but still different from) smoking and 2nd hand smoke. Which is a behavior that
has been significantly curbed through information campaigns and mandates about where you can and cannot smoke.
Are you against the media giving information* on the dangers of smoking or outlawing indoor smoking in public places?
*This conversation began with the question of what the media decides to cover, you turned "giving information" into "shaming"