This does not look strange, as the probabilities are almost identical
and this is not parsimony, that is, the ancestral state depends on the
branch lengths, the stationary frequencies, and the substitution model
parameters.
What I am not so sure about is if ancestral state reconstruction works
correctly with the ascertainment bias correction.
You could try executing this without asc bias correction just to confirm,
alexis
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Alexandros (Alexis) Stamatakis
Research Group Leader, Heidelberg Institute for Theoretical Studies
Full Professor, Dept. of Informatics, Karlsruhe Institute of Technology
www.exelixis-lab.org