I do not believe that this conception of "strong atheism" exists in practice.

It does, I have met many people who espouse it.

So, no matter what wild claims i make, you're burdened with disproving them?

No, I said that *you* are burdened with proving them, no matter what that assertion is. As I said before, strong atheism steps out of the realm of just declining to assent/assert a concept, it is the positive assertion of a concept, the concept that no god(s) exist(s).