I prefer "weak opinions, strongly held", as in, "I don't know. And I am pretty sure you don't either." Won't sell me any books, but it's been my experience.
An analogy the original concept makes me think of, is how you can pour out some stuff like sand or flour, and it's hard to tell how much you have because it forms a mound. But if you shake it, it levels out. And if you're pouring onto a scale, shaking makes it pour more continually and lets you get the exact amount you want. In general, going back and forth seems like a way of reducing hysteresis, and that's what the "strong opinions weakly held" concept sounds like to me. The human tendency is to resist flip flopping to present an outward image of stability, so it's best to do constant internal flip-flopping without losing your place and letting people know. I haven't thought of the concept by the catchphrase/meme, but I have many times thought that whenever I see a claim, I need to reverse it in my mind and think about whether it's any more or less plausible to consider the opposite. To avoid the friction and path-dependence of an idea. People like to be contrarian and sometimes they appear to be smart people, who scoff at this sort of thing, reversing obvious statements. But I still think it's vital.