Yes. Nobody says someone "seem to live normally" in English. I had written: "She seems to live a normal life" but it was rejected.
If one were to translate in a more literal fashion, perhaps your first example is even more appropriate: "she seems to live in a normal way." I did not try that one but I doubt that it's accepted either....
It would have been nice to see an explanation from DL moderators. The question of ambiguity to its meaning has been raised five years ago. This may be a commonly used French expression but I have never heard any one say this in English unless it's meant to say "She leads a normal life".