An interesting point from a legal perspective:
The law about inheritance allows the establishment of certain criteria in estate planning, such as "to all natural children then living...."
This is considered an open class so long as the mother is alive (and up to a few months after the father dies in some states) because she could always have more children. (Being an open class has certain legal ramifications that don't matter here)
But wait, you may say, what if she's barren or post-menopausal?
Well if you think she can't have children then you must think the Bible is a lie, since Sarah had children into her dotage, after menopause.
I'm serious. That's part of the reason such consideration has gotten into our laws.
So, when the guy in the video says "A woman without a uterus has no more potential for giving birth than a man without a vagina" he is saying the Bible is a lie.
So our laws have built into them the possibility of a miracle, and thus there IS a difference, if you believe in miracles.
The odd thing is, it puts limits on God. God can miraculously have a woman regrow her uterus and get pregnant after having been barren, but cannot make a man get pregnant. (Silly Yahweh, not nearly as creative is the Greek gods)