I am tired of seeing China being referenced as a "good" example of engineer-led country, again and again.

The politburo is consisted of a bunch of top level bureaucrats, who happen to have engineering degree. In fact, people were selected into bureaucracy not because of their engineering degrees, but
A) they joined the party early;
B) they graduated from top universities (E.g. Tsinghua);
C) they actively participated in party sanctioned politics either in their first civilian jobs, or as early as in the university, such as student unions (effective a pre-bureaucracy self-administering the students).