I don't think you do.
Back in the day, people who offered an opinion in a public forum would generally be ready and willing to defend it in some way if it was challenged. People understood that an opinion was only as strong as the argument behind it, because it was those arguments that swayed the opinions of others. People also weren't bombarded with the number of messages that one gets in the modern world (via advertising, spam, online interactions/communications, etc.), so people tended to listen when others spoke. It wasn't hard to get their attention, but it was much harder to convince them.
Nowadays, offering an opinion in a public forum often isn't about convincing someone through strength of argument. It's about simply being heard in a sea of noise. Since critical thinking isn't exactly a strength for most of the world's population, simply being heard is often all it takes to start to sway opinions. How does one get a message heard? By making it stand out in some way (by being extreme, or being first, etc.)...hence, the polarization of opinions, #hottakes, people spouting off real-time "reactions" instead of conducting analysis, etc. People don't worry about justifying their opinions, because honestly, the strength of one's argument simply doesn't matter that much anymore. If one's opinion is challenged, one can always deflect, attack, lie, or whatever and shift the discussion to something else.
The quality of public discourse is degrading. Significantly. And the above is a big part of the reason why.
That's what I'm getting at. IMO, that problem is a lot bigger one for society than your proposal that people are too sensitive to the opinions of others.
You can post whatever opinion you want, but whether or not you contribute to the problem I'm describing above beyond that is up to you.
