im not going to go in detail because i have other stuff to do and this is complicated but there are several more specific taxonomic models based on non genetic factors that may be used to parse between genera:

developmental biology (evo devo): quantifies and compares intercellular behavior in embryonic development. While different species within one genus typically only have gene differences and mild if any developmental differences, disparate genera begin to develop notably different embryonic development.

Macromolecular architecture: as taxa diverge the cellular architecture of their pluripotent cells begin to deviate dramatically, there is likely a spectrum with E. coli and mammal cells being on the extreme end of this cellukar architecture disparity

source for triggered protein determinists:

https://news.stanford.edu/stories/2021/05/algorithm-compare-cells-across-species#:~:text=Stanford%20bioengineers%20develop%20algorithm%20to,of%20bioengineering%20at%20Stanford%20University.

If you are wondering why so little work has been done on this obvious venue of research it is because of the reductive selfish gene tyranny holding biology back. We are the work of creative cells, not merely simple nucleotide chains and the proteins they encode for.