A. 同格を表す接続詞that
  1. Ethnocentrism is the belief that one’s own patterns of behavior are the best.
  2. No one can help admitting the fact that smoking is bad for the health.
B. no matter how [what, whenなど] (=however [whatever, wheneverなど])
  1. There is no one who is not ethnocentric, no matter how liberal he or she might claim to be.
  2. However tired you may be, you have to finish your job by 5:00 p.m.
  3. No matter what he says, don’t believe him.
  4. Whenever I invite her to a movie, she is always willing to go.
    cf. Whenever I listen to that music, I remember playing with my cousin in early childhood.