Was in the hospital with my 3 week old baby (still wasn't discharged yet due to some health issue which got resolved) and we ran out of my defrosted breastmilk during a feed. The nurse said we can just stop this feeding session because the only other immediately available option was formula, which was apparently worse than to just leave the baby hungry? I requested to use the formula if it was available and the nurse rushed off and came back with breastmilk which she quickly defrosted.

My point is that yes, there is stigma against formula, at least in the hospitals I was in.