Anadi Studious Magic and Arcane Proficiency

[Ravingdork]

If an Anadi non-caster picks up Studious Magic, do they really remain untrained in the Arcane tradition?

[Jared Walter 356]

Yes. However the text on page 302 kicks in:

"You're always trained in spell attack rolls and spell DCs for your innate spells, even if you aren't otherwise trained in spell attack rolls or spell DCs. If your proficiency in spell attack rolls or spell DCs is expert or better, apply that proficiency to your innate spells, too. You use your Charisma modifier as your spellcasting ability modifier for innate spells unless otherwise specified."

so you are trained in the spell attack roll and spell DC for this specific spell.

[Blake's Tiger]

It’s same for the other ancestries with feats that grants a cantrip.