You say this as if a foregone conclusion, a statement of fact.
There's zero wrong with considering what it means to be a man. Just because I don't address what it means to be a woman doesn't make me sexist. It's not toxic to consider who you are and what values you hold dear.
Perhaps the wince that's induced in you is projection on your part? It doesn't make me wince. Nor do I apologize for it. I don't look at this poem as sexist. It addresses who I want to be as a man, no more, no less. It has no bearing on my thoughts of women. I'm not a woman, therefore my thoughts and feelings about what women should be are largely irrelevant... at least as irrelevant as to Rudyard Kipling who didn't address this topic at all in the poem.