But there is a shortage of axolotls.
What we keep are largely of no value whatsoever for the species. Captive axolotl bloodlines are contaminated with A.tigrinum, plus the accumulation of mutations has made them invalid.
Those who do not have an introgression of A.tigrinum in their lineage, are still not suitable for a reintroduction because of the mutations or the lack of especific captive conditions (to ensure they don´t carry anything potentially dangerous). It doesn´t make them a different species though, those are still axolotls, just not suitable to be set free.
Those who do have a genetic introgression are not a different species either, they are just an hybrid, and i´d say those are the majority of captive axolotls, certainly all golden albinos and their siblings.
As for morphed axolotls breeding i don´t see it happening. For starters, many live short lives. Even if healthy (or as healthy as such an aberrant can be), they are still Ambystoma and unlikely to breed in captivity. They would probably be just as difficult as A.tigrinum or more.
If they were to breed then i suposse they would be able to breed both with other morphed axolotls and with regular ones, plus obviously, with other ambystomatids.