They aren't Down Syndrome kids

So I'm writing to vent a bit.
This is not a big deal at all. But I need to clarify to the world.
In my advanced writing class today my teacher showed us an example of a paper her daughter wrote. This paper has bad transitions, and that was the point she was trying to make. Thank you Mr. Birrell for teaching me the correct way to transition papers, therefore, in contrast, however, finally, etc.
The paper she showed us was an argumentative paper addressing the question of whether or not children with Down Syndrome should be mainstreamed. I perked up.
My little sister Cami has Down Syndrome.
She didn't read the paper and I wish she had. That is not the point, however. As she was describing her daughters research she kept saying things like,
"Whether Downs kids should be mainstreamed".
"Those Down Syndrome children..."
Do you see anything wrong with these sentences? Not grammatically of course (ps don't judge me on grammar here, that's not what blogs are for). Here are my corrections, and if you want to be nice and politically correct, read them.
1. Don't say Downs. Downs is not a nickname. If you look it up in the dictionary, you won't find anything that describes something as complex as Trisomy 21.
2. Just because a person is born with an extra chromosome doesn't mean that they loose all identity. A person who has ancestors from Germany is not "that German child", he is a child with German ancestry.
My sister has Down Syndrome but she most certainly does not carry the title of Down Syndrome in her name. When I am describing a person with an eating disorder I would not say, "anorexic Suzy..." If her anorexia were important to the information I was presenting, I would say, "My friend Suzy, who has anorexia..."
Those two sentences, the one with "Downs" and "Down Syndrome children" are incorrect. Please don't use them again Professor. Or anyone else for that matter.
This really got me worked up today. I don't think disabilities should define us. Other wise I would be introduced as the half-doer anxious girl. No thanks.
My sister is really great. And so are millions of other people who have disabilities, whether they be physical, emotional, intellectual or spiritual. They want to be known for who they are, not what they have