Yes, it does, but virtually noone acknowledges the fact. Most people don´t even know about the hybridisation event, and those who do still refer to these hybrids as axolotls. It´s extremely generalized, and as you can see, it even extends to the scientific world. Laboratory "axolotls" are refered to as axolotls...and therefore A.mexicanum. In fact we don´t even have a name for the hybrids or the domestic populations...they are always refered to the same way as the original, wild species.
It is waaaaaaay to late to do anything about the introgression, the damage is done, it has spread unchecked and there is no way of knowing if an individual domestic axolotl carries any introgressed genes even if it doesn´t carry the albino gene. It´s completely out of control. I do think, however, that it would be valuable to acknowledge the fact that domestic axolotls are of unknown genetics and that the introgression is real and any animal that carries the albino gene is definitely a hybrid (even if it turned out to be a 99.999% hybrid....). Having a separate name for domestic axolotls like we do for so many other domestic animals would be good.
The same mistake of identifying high percentage hybrids or domestic variants with the name of the original wild species is happening all over the place and it is a dangerous thing to do...