There's nothing wrong. As one of the Yamaha teachers said,

Kids are capable of learning more than one language. The different naming systems are like different languages. I did not specify in the last post: All conservatories in China teach fixed-do system, except to Chinese traditional music major and vocal major (partially to the latter).

You still did not say if you taught your daughter which solfege system. That makes a whole difference in terms of if she has perfect pitch. Now I am curious.
:-)