Increase Ban Numbers

With the new update to the draft system I was having a thought on bans. The way it currently stands the bottom 6 players get one ban each. From the LoL wikia page: "As of 24 November 2015 there are currently 128 released champions, with the latest being Illaoi Illaoi, The Kraken Priestess. The next champion to be released is Jhin Jhin, The Virtuoso."

There are enough champions that each player could ban one champ, still leaving 118 to 109 choose from based on placement; this would also permit for each player to ban a counter to their lane or even ban most in Meta champs. This in turn would then make champ select stronger for both random games as well as team games forcing people to think about their champ picks as well as their bans.

Any thoughts or feedback to add to this?

TL;DR: you could ban 10 champs and still have roughly 93% of the current pool to choose from meaning slightly tighter strategy in champ ban/select.