arcane worshippers

[Hangman Henry IX]

so

Inner Sea Gods chapter 3 intro said wrote:

Many of the spells in this chapter originated with the faithful of a particular deity and are more common among the worshipers of that god. Such spells are denoted with the god's name in parentheses after the spell's name. Worshipers of the spell's associated deity always treat the spell as common, and need not research the spell in order to prepare or learn it. Despite this, all the spells in this chapter are available to members of other faiths, though some temples or religious organizations may proscribe the use of specific spells. Additionally, arcane spellcasters have unlocked the secrets of casting particular spells.

what does that mean for arcane worshipers of a deity in pfs? currently in pfs worship of deities is required for certain traits and feats, as well as certain alternate spellcasting. this statement from inner sea gods implies to me that all worshipers of gods get the spell regardless of whether it is on their spell lists or not. if it doesn't mean that i am rather confused why these lines were printed.

[BigNorseWolf]

Nothing, because PFS doesn't differentiate between common and uncommon spells.

[Dylos]

If it's on your list, you can cast it, you aren't even required to worship the god who the spell is normally associated with.

If it is not on your list, you cannot cast it.