I have a stepson. He has been my stepson for over 40 years. We are close and I love him like a son. I would never treat him differently than a biological son. I am blessed to have him.
My late parents treated stepson like a grandchild also and he has very fond memories.
No I was not the other woman. I met DH several years after his breakup.
My stepson has children whom I call my grandchildren. They have never known life without me. They are teens now and call me grandma.
Their biological grandma (she is called something different) has taken great pains to make sure they know I am not their "real grandma." She told them when they were as young as three.
I remember grandson at about 4 saying "[name] says you are not my real grandma."
It threw me momentarily as is seemed a bit young to be making such distinctions actively. They of course knew she was their Dad's mum.
I just confirmed that yes, grandpa was married to someone else when he had your Dad. But that doesn't change how I feel about you. I love you very much and will always be there for you and be your grandma.
I know that ex said it to gain points but that has been the case forever.
She did the same with stepson constantly over the years.
Think about the impact your comments have on your son. It does undermine his relationship with the new sibling. Marriage break up is hard, and especially hard with children involved. Resist the temptation to try and score points. The more people love your child the better.