For up to 1000 babies? I doubt it.
Raising offspring is seriously time consuming, and expensive. You won't be allowed to let the temperatures get over 20C. You won't be able to go on vacation (or even leave for longer than overnight) for months. You'll have to seperate them according to size, or they'll eat each other. Then you'll have to home them all when they get bigger.
"Because she'll make pretty babies" is not a legitimate reason to breed anything, especially something as hard to place as axolotls.