The Fool (spoilers for all RotE books, including LST)

[o0Ampy0o]

Maybe that is one possible explanation if we accept the circumstances as the way Fitz experienced both.

Here those of you that have read the series at least 2x are in a better position to grab supporting text. I am not sure Hobb would or would not make the connection if they were the same source. I suspect she would make the connection somewhere because it would lend to world building. Meaning, Fitz would make the connection somewhere. The alternative would create a loose end.

One could argue that loose ends are nice and leave room for mystery but it depends on what is left in question.