You don't seem to understand. When you get banned, if your Facebook account is connected to your save at that time, they flag your Facebook account and prevent you from using it to back up a new save. It doesn't matter if you unlink your Facebook, start a new game, then relink it. That Facebook account can no longer be used to play the game again. You need to make a new, throwaway Facebook account if you want to back up your save. You can keep playing with the modded client once you have it all set up, you just can't use that old Facebook account to play anymore. I don't know what that guy means about getting automatically banned in Year 6, he probably fucked up somehow and associates it with that.
When you do resume playing, don't do whatever it is that got you banned last time. Don't play during Full Marks or House Pride. Don't have more than 600 energy at any given time. Don't report any bugs or contact Jam City's support service. All of those things come with a heightened risk of being banned.
I really need to write a guide on this shit, I feel like I have to tell this to people every week lmao