I would say you would both have a burden of proof to an extent, theirs would still be way higher. As a weak atheist you are stating no beliefs at all, you have literally zero burden of proof. Once you make a positive statement about your belief, it's reasonable for someone to ask you what your reasons are. Which is fine, and there can be good reasons. But my point is that this is really time wasted when the theist should be explaining their nonsense.
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