How do enlightened people think?
Enlightened people do not overgeneralize.

(This can be supported by both Pali Canon as well as Mahayana sources.)

Concepts like "enlightened", "person", "I", and "thinking" are all overgeneralizations, which enlightened people do not dwell in.

They may use generalizations as skilful means, to communicate the teaching, but they themselves are not bounded by them.