DY
FWIW, bacon isn’t fleishig.
Technically, chicken isn’t fleishig either. What’s your point?
Chicken is assur mid’rabbonon with milk, and, mid’rabbonon it is assur go have milk within six hours (according to most common minhag) of chicken. It is “technically” fleishig.
Chazzer is assur, but basar b’chalav is not a factor, so it is not “fleishig” in the way we use the term.
Say Sam made a bris and served what popa thought was lamb bacon but then he found out it was chazzer bacon. When we got home, I could serve him his coffee with cow’s milk, no need for soy milk.