The full answer
No.
Muslim ownership does not establish where a restaurant purchased its meat.
A Muslim-owned restaurant can purchase from conventional suppliers just as any other restaurant can.
Certification verifies the supply itself rather than relying only on the owner's identity.
Answers in the Halal Knowledge Center reflect the standards followed by Halal Monitoring Services (HMS), which operates as part of the Shariah Board of America. HMS certifies only what it checks.