Minimum-mutation scoring is useful, but it is not guaranteed evolutionary history.
highlighted = computed this step
Minimum mutations are not guaranteed history
Parsimony finds a minimum-mutation explanation on the given tree. Homoplasy and convergent changes can hide repeated history, and long-branch attraction can favor a misleading topology.
minimum mutations=certain history
The score is not a full evolutionary model
Fitch scoring assumes the topology is already given. It gives no branch lengths or probabilities, and ties can leave multiple equally parsimonious ancestral labelings.