I think it would be less confusing and match Apple's entitlement property descriptions here vs the ones currently implemented.

https://support.apple.com/guide/deployment/privacy-preferences-policy-control-payload-dep38df53c2a/web

Apple - Accessibility

Allows specified apps to control the Mac via Accessibility APIs.

PPPC Utility - Accessibility

Allows the app to be controlled with the Accessibility Subsystem.