do reports really do nothing?

just had a game where for some reason our teemo got upset so he sold everything, bought mobi boots and 5x tears and started feeding down mid. he said those were his tears of frustration and i told him those will be your tears when we win and you still get banned. He then replied "if i get banned i will buy you every annie skin thats how confident i am the report will do nothing". Is this really true? that reports do nothing?
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