Random ARAM Thoughts(Suggestions)

I had a few random thoughts while debating if I wanted to play an aram to kill some time, I'm not entirely sure if the first thought is already true, it's very possible I've just never had it happen to me, but onto my thoughts.

1. A changing of the rules for aram so the random champion selected only looks at your team as opposed to your team and the enemy team, I've never had a game with a mirror match in aram and as it is a blind random pick I do feel like two people on opposite teams should be able to have the same champion.

2. A variant of aram or yet again changing of the rules to where the randomly selected champion is 100% random, with respect to what's already on your team, by this I mean say you don't own urgot and he's not on free rotation. You queue up for this mode and random select has a 1/(current number of champions) chance to give you urgot initially if you reroll someone whose not urgot you have a 1/(current champions - 5) chance of getting urgot if no one else has him on your team. If you currently have urgot in this mode rerolling him will never give you urgot again.

3. A variant of aram as a rgm where every champ on your side is 100% random and the game doesn't care what's already on either team at all, it'd be highly unlikely you'd ever get the same champion on your team twice in this mode just because of how many there are, but it would be entertaining to see one team get doubles of a champion and onward for the even less likely numbers. Rerolls would give you someone with a 1/(current champions - 1) chance to get anyone but who you just rerolled.

The ones better suited to a rgm could have a ban phase where you can ban champions to not allow them to be randomly picked and possibly even have limitation picks that force that champion to only appear on one side, if at all, or to only appear once for both sides, if at all.