They may approve a factual mention, prefer a direct introduction or decline both. A visible network connection does not establish permission to use their name commercially.
"We both worked with Alex on this kind of project" means something different from "Alex recommended I contact you". Use the latter only when it is true. Do not imply closeness based solely on shared employment or a public connection.
A mutual name can add context, but the message still needs relevance to the person's role and a useful next step. Avoid treating it as a trick to force attention.
Track approved mutual-context outreach separately from connector-delivered introductions. Their costs, recipient expectations and approval steps differ.
Orbb can help research and coordinate appropriate paths. The programme should preserve the distinction between a verified connection, an approved name mention and a personal introduction.