I hope Vanderbilt isn't depicted as a member of the Vanderbilt dynasty. Star Trek is supposed to be about, amongst other things, a future when humanity has moved beyond Capitalism and its elitist social hierarchies; it would be kind of disgusting if it were to implicitly celebrate Capitalist elitism by portraying the early UFP as perpetuating such hierarchies.
It'd be rather ridiculous to condemn him from coming from a family which had money in the past. It's also self-defeating since a Post-Scarcity economy means EVERYONE is ridiculously rich in the future. Having famous ancestors shouldn't dissuade someone from public office out of a sense of peak at past social injustices.