NS,
I suspect I might be a god dodger in that sense.
How so? Have you found an argument for theism that you can’t falsify?
And in no sense would I be being dishonest.
How so? If you can’t falsify an argument for something, on what other basis can you deny it?
You're wrong about it being a necessary condition. The only necessary condition is the lack of belief. If I found an argument that seemed to make sense then I suspect that I would wonder if I could be wrong about it, and since that is possible I wouldn't necessarily accept it. There are multiple things in which I see good arguments on both sides but that doesn't make me dishonest.
But the point is that lack of belief becomes untenable if you can’t falsify an argument
for belief. You might cling to it it anyway (ie, cognitive dissonance I suppose) but then we’d be back in denial territory. It’s a bit like the JBS Haldane falsification test for the ToE – rabbit fossils in the pre-Cambrian layer. If one such was found you might still say "I still think the ToE is right in all its particulars" but your position could easily be undone.
You seem to think that we choose what to believe and that in no way chimes with my experience.
Not really, but I do think that we have the capacity to know when our beliefs are false even if we ignore the problem.