Technically, you’re right. But I was born in ‘59 and STILL don’t feel like a Baby Boomer.
I think it is more important when your parents were born. My older sister and I are definitely Boomers born “48” & “51”. Our sister was born in 1958. Many of her friends had parents born in the late thirties as opposed to the late teens/early twenties like our parents. My sister was raised very different by much older parents, but her classmates whose parents were born in the thirties were a whole different generation culturally speaking even though they were born in 1958/59. Their parents did not really experience the depression nor fight in the war.