Hokuriku Arch Pass Local trains

Hi anyone knows the details about the usage of local trains for the Arch Pass?

"Unlimited use of ordinary car reserved seat on Hokuriku Shinkansen (Tokyo to Kanazawa), limited express, and local (including rapid service) trains and all Tokyo Monorail lines within the free usage area."

Does this mean local JR trains (outside of Tokyo and Osaka) can be used as well?

This map clearly shows which train lines can be used:
https://www.westjr.co.jp/global/en/ticket/hokuriku-arch-pass/images/in...