AppleWatch for your kids E-sim Australia

I have Apple Watch for your Kids setup in Australia. I would like to change providers as the service is very patchy. Is it possible for any e-sim sim plan to work with the Apple Watch For Your Kids (formerly "Family") setup?

It seems to me that as the Apple Watch has an EID it should work with any e-sim capable sim plan?

If possible could someone explain why an E-sim enabled sim plan won't work with the Apple Watch for your Kids set up?

Any guidance is helpful!