I see no reason why small axolotl can not be fridged if needed. I have yet to see a valid reason why you should not.
I have put injured juveniles in the fridge or outdoors ( winter time) to aid recovery from injury with no problems at all. They continued to eat and grow, but at a slower rate than their siblings. I even accidentally left one in what I thought was an empty tank over winter in a tank that I was convinced froze solid. This one was a quarter of the size of it siblings when I found her, but she grew to a beautiful big axolotl.
If an animal is needing to be fridged, it needs to be for a reasonable period of time. I would say raising and dropping the temperatures in short periods of time will cause problems, and I wonder if this is where the notion of not fridging juveniles comes from.