But the case for convergence confounding analyses has been made, time and again, for exactly this clade. It is THE showcase example where parsimony is likely to run into a wall*, and has been since more than a decade (in fact, try doi:10.1007/BF01908745). This cannot be dismissed out of hand. Basically they reiterate a cold case; this is not good.
* Especially in such large-scale analyses, where the data set cannot be sufficiently fine-grained because it could then not be applied to many other taxa.
A morphological analysis of foot-propelled divers that is good (IMHO) would run into problems as soon as it comes to outgroup selection, because the character set would include a load of F-PD apomorphies.