Divine characters and Aura interaction

I was looking at the Aura interaction chart and the Divine powers say no effect for most things. In addition the text says divine is not impaired by any aura.

Does this mean that divine powers do not suffer additional botch in Infernal or faerie auras? (I know most powers and methods use simple dice but holy magic, sense holy/unholy are divine based.)

My impression is that the additional Botch dice per level of the foreign Aura is entirely distinct from the Casting Total penalties.