My oldest daughter is severely dyslexic. With an immense amount of effort and help she’s been able to work around her difficulties (she’s doing very well and on her way to her PhD (sp?)now), but that doesn’t change the fact that she’s dyslexic.
Note that I’m not, so the best I can do is try to explain how she describes her situation to me.
To me, text on a page is static. It just sits there quietly. To her, that same text is constantly moving. Or as she used to say as a kid “the letters run around.” There is no real difference between a “d” and a “b” - they’re both the same (or more precisely one flips around and becomes the other).
I suspect that when you heard the lady say “I write upside down and backward” she wasn’t referring to that as a skill, but saying that’s the way the letters turn out sometimes. That was certainly the way with my daughter when she was a child. (Now she types everything on her computer and lets spell-check try to figure things out.)
Hand/eye coordination is not the issue.