[pushrax]

The OP article specifically writes

> These disappointing results have required evolutionists to devise several ad hoc mechanisms to explain the ubiquitous inconsistencies. Examples include lateral gene transfer (LGT), differential gene loss, and convergent evolution. Yet, the widescale appeal to LGT has been seriously questioned.

LGT is a synonym for HGT. I'm not sure why the article brings this up, since the model (DAG vs tree) and the mechanical implementation (LGT, etc.) are different things. The need for a mechanical explanation (defined by observation) does not change with a new model (also defined by observation). That said, new models can provide the right mental states to speed up discovery of correct mechanisms, so this work may have some significance, but it will be impossible to tell a priori.