MiG-21bisIdk if this is a reasonable solution but I personally think that decreasing the thoroughness of AC reviews to get faster bans out at the cost of false bans is way too big of a risk. A false ban would destroy the reputations of people and may sow doubt in the AC team's legitimacy if there are any "controversial" bans.
This occurs already in etf2l where (iirc) their standard is similar to RGL. I trust etf2l AC team more than RGL because the people there (quintosh & co.) are extremely experienced, but recently there's been bans that a vocal subset of people are very upset about, dafuqwizat & jeven off the top of my head. Just look at this thread. So really at the end of the day if you're liked by at least some group of people + not blatantly cheating there's always gonna be people who make a fuss of things, regardless of the purported standards you uphold.
For the first part about destroying reputations, idk have prior cheaters even had trouble finding new teams? I honestly can't think of a single example; it's tf2, people just hang out with their own circlejerks anyway. I think it just boils down to the same point I made above, if people like you I think you'd be good either way.
Obviously throwing away all standards to the wind is a bad idea but at the current standard I just don't trust the AC team to actually catch a cheater that is even a little less-than-blatant without them ruining like idk 2-3 seasons max.