That hasn't stopped changes in latin names for other species. Indeed with all the DNA changes alone the field of taxonomy is getting to be rather a complicated world set to get even more confusing as even quite recent publications can end up with the wrong latin name on species. This is without even approaching the subject of there being several different latin classification systems in operation the world over (I think Europe has 3 or 4 for birds alone).
I do get the feeling that at some point we might even have to move away from Latin to a new language base for formal classification. If just to try and provide some form of united single base to expand from and to refer old works too. Rather than a continuing line of changing latin classifications which might well prove confusing.
That probably won't happen for a time since a lot of this DNA change is within the last few generations so there's still many for whom the changes are recent enough that they've "grown up with the change". It's more newer generations where the confusion could be present.
That said it might never happen unless there's a huge shift in science toward a fully united front without national interest.