Champion select idea

So we can swap champions after the pick phase, its great because we can hide a pick from couterpick or we can secure an op champ. But it requires both players to have the same champions. So i think it would be great if we could swap the positions instead. For example the last player could swap with the first player, this way the last player picks first and the first player picks last. If we can change the order like this we don't have to rely on eachother to have the same champion pool. The swap could use the same mechanic as the aram champion trade so both players have to accept.