I was five when my dad was killed, and my mom died when I was nineteen because she was sick but we didn't know in time to try and do something about it. I've had two doors open up that meant I was able to help my dad survive (he's here on the station now, actually) and to get my mom's illness treated in time so that there's a really good chance she could survive it.
My actions have changed things, yes, but it didn't get rid of me. It just made a different timeline that I'm not part of. When I get sent home from the station, they won't be there. They'll both still be dead for me. I might not remember being here, so if that's the case, then nothing will have changed for me. If I do remember, then I'll just have to be happy knowing that in a couple of timelines at least, my mom and dad are alive.