Ah, but the point is that "believe" is the weasliest of words. I know a few, and would guess there are quite a lot more, intelligent people who readily states "I believe that there is a God" but who would be very hesitant if you asked them to use "Evidence indicates that".

I would say that what you call weasel words occupy a scale and that its not just as easy to use them all in any given context, at least not for reasonably intelligent people.