Yes, I agree with your point. However, I wanted to relax these assumptions, given that ignoring invariant site or polymorphic sites can build some bias on phylogenetic analyses. It is also true that there is not a general rule, at least for what I'm aware.
Concerning the "phased genotypes", I'm not sure about that. Reading the manual of RaxML-NG, it seems that genotype unphased can be used.