What value does your unsupported opinion have to anyone, though (including yourself)? Maybe it feels kinda good, so there's a mild psychological benefit to going, "I believe: this!"?

But I already tried to "distinguish the information for myself" and I can't figure out what you're talking about.

The point of free speech, as elucidated by Mill in On Liberty, at least, has very little to do with spouting off and then clamming up when anyone asks you to justify yourself. This is how to lose in the marketplace of ideas, ideally: you don't want unsupported opinion to be widely accepted, or there will be no correlation between the reality of a situation and the consensus on the situation. As a matter of personal liberty, sure, say whatever, wear whatever hat you please, paint purple stripes on your car--you do you. It's not hurting anyone else in any substantial way. But as a matter of social good, and it is only because free speech is a social good that it is worth guarding so jealously, the value of free speech is that it helps us all come to a better understanding of things.

If you don't want to be part of that, well, fine, you do you.

But you're the one making yourself moot by leaving your opinion wholly unsubstantiated.