We can't prove when those chains were created relative to each other. That was the point in my very first post on this.
Someone could 100 years later create a chain and claim it existed at the time and was part of the union.
The only proof we have for the union is what the chains record. This is the entire reason we need LCR.
You envision a union, but you have no way to prove what the union is. Propagation is not proof. I made this point several times now.
The flaws require very deep thinking.
Ahhhh, right of course - because the minority doesn't expend much energy by bundling the larger set of transactions, we have a sybil problem similar to long range attack in POS. And if they did expend energy linearly in the number of transactions they bundle, the majority always wins are we're back to the same old LCR.
edit: this is actually a really nice example of why you have to expend sufficient energy when you're creating blocks, and why POS is not tenable for a world currency.