Just to clear things a little, it was NOT Nitrates but the far more toxic NITRITES that were off the scale and an Ammonia spike along with it. I have to say I think there was no choice but to remove them from their toxic tank water immediately. Those parameters seem to indicate the tank was nowhere near to being cycled and water changes several times a day would still have these animals at unacceptable risk.
Also, I think there is a misunderstanding with regards to the size containers they are now in - small plastic Tupperware tubs NOT new tanks. It is well known that small amounts of water become contaminated very quickly as opposed a large tank where the nasties are somewhat diluted by the volume of water. Therefore 80% - 100% water changes and cleaning can only benefit the Axies whilst they are recovering / growing.
Check how many other threads on sick / injured Axies advise the same treatment, you'll find it's often the most successful ....... Cheers
Nitrites. Yes! My bad. And I can see an 80% water change in the existing tank being beneficial, but 100% changes twice daily for multiple days seems excessive. I realize I don't have much experience on this forum, but in my experience with fish and axolotls, I've always had the best luck correcting cycles with 30-80% water changes once every few days. And if an axolotl is stressed, I've always had the best luck refrigerating them while introducing small changes in water to minimize huge changes in PH levels. That is my experience as a breeder. And no I saw that they were moved to a larger tank from the small container, which was a good thing