This confirms that154the openness and complexity of the E. coli pangenome pose a high-dimensional biological155challenge that cannot be fully captured by a standard phylogenetics approach.
While this may be true, I'm not sure what you have shown can disambiguate the limits of "traditional" or "standard phylogenetic approaches" from the inherent limits of using RNA-seq as a biological readout and/or the complexities of this type of study design. How confident are you in the fidelity of the transcriptomic profiles or your power to detect joint species effects, given the number of pangenomes and phylogroups? Turning to the protein embedding space is an intriguing idea with some clear utility, but I wonder if a deeper exploration of the relationship between phylogenetic and measurement limits might help build a stronger case for which types of alternative methods are needed.