I don't know if we're talking about the same thing, but to me it seems like there's potentially two issues at play here: self control to act in accordance with one's supposed morals, and, the changing of the presumptive morals of a society.
For self control, I feel like it's universal human experience to always find this falling short. Throughout history we do things we know we shouldn't, as in, we agree they're bad for our health or unethical, but we're really good at doing it anyway for whatever reason. Reasons like forgetting in the heat of the moment or dreaming up some unreasonable justification. So, to say there's something new in modern society about this, I don't know if I agree. If anything I think each individual's ability to manage this is under direct attack by increasingly effective mechanisms manipulating our cognitive biases and flaws, such as notification bells and other UX dark/whatever patterns.
As for the changing of presumptive morals, this I feel is quite noticeable in modern society, and I wonder if when someone appears "offended for being called out," what's really happening is a misinterpretation of their morals. In fact they're acting out their morals just fine, and there's a disagreement.
The example of this I most often think about is laziness. I personally feel bad if I spend a day at home watching netflix or whatever. I think I should instead be reading my HUGE backlog of books I want to get through, or work on my personal projects, or go clean the local park, or do literally anything. If you catch me watching netflix, that's a failure to act out my morals.
That said, I don't have the strongest argument for my morals. After all, what's all that wrong with spending a lifetime sitting at home watching netflix? Honestly? Do we need to have massive expectations for all the billions of humans? Maybe we do, and maybe the person works really hard during the day, and that's good enough? Or maybe our technology has advanced to the point where perhaps it's just fine for us to relax and float on the river of life. In fact maybe technology has nothing to do with it, maybe it was always ok to do nothing. In Cory Doctorow's "Walkaway," there's a subset of the culture that exclusively do nothing, contribute nothing, so as to lessen the guilt of hardworkers when it's time for them to take a break: "Relax, there's no way you can be lazier than us after all!"
What examples of people being offended, for being called out for what, did you have in mind?