You could prove it if you know the code driving the dmg formulas, but I dont think anyone is showing you those.
People parse and it seems to be that the best weapon setups are those with the best ratio in off hand. I think you are safe assuming this is true.
Rogues are the weird example where there is a trade off with high dmg and low delay for the primary. Low delay takes advantage of primary dmg bonus better while high dmg leads to better backstabs. Swish over simplifies by saying highest dmg weapon in primary. In the extreme example: thornstinger is going to way out dmg efreeti war spear even though efreeti war spear has much higher dmg.
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