| Adjoint |
It is not written, but I'd expect it to be intended, though not because you are spontaneous spellcaster (Inquistor and Hunter are also spontaneous spellcasters, but are based on Wisdom). However, you get as many spell slots per day as a sorcerer, which means you use Charisma for that, and every other class uses the same atribute for determing spell DC and the number of spells per day.
| Andy Brown |
for reference
Pretty sure there isn't a rule that says all spontaneous casters use charisma.
The archetype doesn't say anything about changing the casting stat, so it's still based on intelligence.
As an extra data point (though not conclusive), Hero Lab uses INT.