BF2042 had a cheap version of EAC before and now EAAC. BFV had some "memory detection" anti cheat which did nothing. It now also got EAAC. R6S usually has the most up2date Version of BattlEye and also enforces different builds per player. Cheat detection are much more common in R6S.
As for raging and manual bans, its also more common in R6S. As @
Neraz1m said, you could get banned after a few days or a few weeks. It depends if your stats are truely unlegit and if someone reports you to the support or reddit etc.