The President has far more security, and probably wouldn't be having a casual lunch in a local restaurant. The Mayor definitely might.

Usually if Chiaki approaches someone she really shouldn't, she does so very calmly and politely, and with the Mayor, probably well-dressed and representing herself as a local real estate investor. Then, at some point, the warning slips out. Chiaki learned a lot about her methods from Akiko, who would probably do the same thing.





You never know. The only sure thing is in one of the Mysteries of Faite chapters, when Liu Xi asks if she's supposed to exist, Faite only tells her not to be afraid.