Maybe these should be in the errata thread. Regardless...
First, the Esoterica methodology says "In addition, choose one common cantrip from the divine spell list and one common cantrip from the occult spell list. You can cast those spells as innate spells at will."
Was it a mistake that no mention of auto-heightening is made, or is that the intended mechanism? If it is, the addition of the cantrips is pretty weak - most of them are useless at higher levels.
Second, the feat Greater Esoteric Spellcasting says "Also, choose a tradition from which you can cast innate spells due to the Esoteric Spellcasting feat. You also gain a 4th-rank spell of that tradition as an innate spell you can cast once a day. At 12th level, you gain a 5th-rank spell, and at 14th level, you gain a 6th-rank spell, both of the same tradition."
Well, since this is a 12th level feat, that just means you get a 4th and 5th level spell when you take the feat. It reads to me that this was intended to be a 10th level feat, but something got missed. Am I wrong?
First, the Esoterica methodology says "In addition, choose one common cantrip from the divine spell list and one common cantrip from the occult spell list. You can cast those spells as innate spells at will."
Was it a mistake that no mention of auto-heightening is made, or is that the intended mechanism? If it is, the addition of the cantrips is pretty weak - most of them are useless at higher levels.
No, it's not a mistake. Cantrips automatically heighten unless stated otherwise. There's some places in the rules where the state that again (like the Cleric class Cantrip entry), but that's just repetition to make sure a new player is aware of it.
The omission here was likely just due to page space, as Archetypes don't tend to get much space in the book. This archetype gets 2 page and they're full even without that sentence.
The rule applies to all Cantrips by default so these heighten as usual for cantrips. :)
Second, the feat Greater Esoteric Spellcasting says "Also, choose a tradition from which you can cast innate spells due to the Esoteric Spellcasting feat. You also gain a 4th-rank spell of that tradition as an innate spell you can cast once a day. At 12th level, you gain a 5th-rank spell, and at 14th level, you gain a 6th-rank spell, both of the same tradition."
Well, since this is a 12th level feat, that just means you get a 4th and 5th level spell when you take the feat. It reads to me that this was intended to be a 10th level feat, but something got missed. Am I wrong?
Almost certainly a typo for the feat level. I say that because the physical books/PDFs have their feats in order of level, then alphabetical. Everything works that way.
This level 12 feat is between two level 10 feats, which is where it would be if it was also a level 10 feat. Given the book layout and the extra thing happening at 12, the most likely explanation IMO is a typo.
I'd consider flagging this one in the errata thread.
Good point on the feat. Particularly true since the archetype doesn't have any other feats that high, or higher.
As for the cantrips, I've literally got that page up in the PC and read right over it. No idea...