If you can't admit the problem you can't expect anyone to notice it
Well, yes, but it is a gamble.
Probably not for a married woman, but as unmarried woman, I would be wary.
You cannot always rely on things being done as they should be done. There is misogyny in society, and I think every woman must decide for herself what risks to take.
"Actually, I feel rather depressed" is probably safe to admit.
But "I don't feel like I have any connection to my baby and I actually resent it for the sleep-deprivation" ... well, that one can reasonably fear would be met with accusations of being a failure as mother and woman.
The war analogy is a bit ridiculous and, frankly (I should imagine) quite offensive if you've actually seen active service.....
Before modern medicine and modern warfare, a woman was more likely to die in childbirth than a man was to die in war.
And in populations that have modern medicine nor modern warfare, this still applies.
So there is that. Having experienced neither, I wouldn't judge.
Perhaps we should ask a female soldier who has children.