If you want to use a hypothetical to support your weakaass argument, you should use one that doesn't fall flat on its face immediately, you dummy.
We're specifically talking about the concept of not having to prove a claim, and you provide a hypothetical where the initial claim would ALWAYS come with proof that would then have to be disproved.
Sorry kid, there is nothing you can argue that is going to change the concept of the burden of proof to tilt things to your line of thinking. Just like percentages, averages, energy prices, et al.
You can try to sin it any way you want, but those things just don't change.
You may hate the concept, but the burden of proof will not change.
Since you obviously didn't read it the last time, I'll share again:
"Burden Of proof
When two parties are in a discussion and one makes a
claim that the other disputes,
the one who makes the claim typically has a burden of proof to justify or substantiate that claim especially when it challenges a perceived status quo. This is also stated in
Hitchens's razor, which declares that
"what may be asserted without evidence, may be dismissed without evidence."
In other words "back it up, or it's automatically bullshit".