Unpopular opinion: Bans didn't make ARAM less random than rerolls do

The main con against bans in ARAM was how it "ruins the all random factor", therefore they removed it. Now, when I start a game I see this: everyone rerolls like crazy until gets a favorable champion with heavy poke damage or if the rerolls were unfortunate they pick someone from the ditched champions' pool. It effectively means a player can choose from 8-10 champions in every game. Please explain me Riot or any of those who were so against bans: this is not against your precious all random factor? I cannot even see the "all random" at all. How did bans make ARAM less random than these things do?
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