The phrase "counts noses" typically refers to the act of taking a headcount or tally of people. Antonyms for this phrase would be different ways of saying that someone is not counting people: disregarding, ignoring, neglecting, overlooking, or bypassing. These words suggest that the person in question isn't paying attention to the number of people present, or that they don't see it as important information. In some cases, these antonyms could imply that the person is actively avoiding taking a headcount, perhaps because they don't want to draw attention to the fact that someone is missing.