Surviving decay tests is a better
indicator, but it still doesn't actually tell you if your dataset is
stronger than another dataset - it indicates whether or not you are
confident reporting the MPT in question, relative to the next-most
parsimonious trees. Decay tests are mostly a way of approaching the
issue that biological systems are not actually parsimonious. If you
can relax the parsimony requirement a great deal, and still recover
the same topology, then the tree is at least robust to that particular
assumption.