Perhaps it's just me? I am a grumpy so-and-so when I want to be.
But it's not that I have a problem with anyone referring to babies or children, as in "my child/baby did this" but categorising them by age, ie "my newborn did this, my one year-old did that" really gets on my nerves for some reason.
I don't even have a problem with tots, kids, little-one etc.
In terms of the x months thing - I can't understand why people can't just say nearly two or just turned 1. I can understand when they've not reached one year yet, but I've even heard people say 32 months! Why do they need to be so precisce?
Oh good lord, I think I need to chill out.