can an apple cellular watch work on a consumer cellular plan?

The Cellular + GPS Apple Watch has an eSIM and shares the iPhone's phone number, and the carriers that support the Apple Watch charge a monthly fee. In the U.S. the fee is $10 per month.

Here is a list of carriers that support the Apple Watch:

https://www.apple.com/watch/cellular

The watch uses the phone's number via an Esim that is built into the phone.

I don't know what a consumer cellular plan is.

Ask Consumer directly if Watch is supported.