Hmmm... I thought the good-only area referred generally to Arboreus but yeah now when I have read that few more times I think so too that it refers to saze zone. Anyhow, is that said that when timer runs out characters are just teleported out? Or is this matter something what is not decided yet?
"While the planet itself doesn’t force them out, Demons have a much harder time walking the lands of Syndesia. Away from the reach of Babilis, they not only lose their Demonic powers, but start leaking vital energy after a couple hours, which forces them to get back to their homeland."
If we think of those timers in general, I guess this ^^ quote can be understood either way. However, if I analyze it more closely it sounds for me that the player needs to run out before he or she has leaked out of all the vital energies. Moreover, when beastmen are on Tartaros there is no mention of timer, just stacking debuffs which might end to the death. This made me wonder, that how beastmen will get out as easy as demons (if we presume they can be ported out when timer runs out)?
"Travelling to Tartaros is extremely challenging for any Beastman, since not only they lose the buffs they are granted on Arboreus, but also become the target of the hate of Babilis. The Evil God enjoys stacking curses on the poor fellows, who could end up dying just because of them – if they don’t get slayed by Demons, that is."
Therefore, based on these notions I would presume that regardless are you a demon on Arboreus or a Beastman in Tartaros, you need to get yourself out before time runs out or stacking debuffs will kill you.