Getting rid of bans would arguably be healthier for game balance
Aside from people screaming at you regardless of who you ban, getting rid of bans will only further highlight the problem that the most frequent champions banned have. That will give us a better estimate of what their problems are and what should be done to fix them. I think Riot even pointed this out a year or two ago; it's harder to fix champions that get frequently banned because you're not working off of complete enough evidence.
Do you think banning champion bans would be a good thing?