I think you do understand my logic.
We voters decide who we want as President, and just because someone's mother may have been a foreign citizen that's way, way down the list of things we consider when choosing our leader.
I didn't say I didn't understand it. I said I didn't follow it. Just as with the age requirement for President, there will be plenty of people older than 35 who are totally unfit. That does not negate the value of the age requirement.
It seems to me that would be an argument in favor of excluding only "naturalized citizens".