What we request is the possibility to limit this synch for git organizations only for specific projects, and if no project it is specified then to make it global (as it is now)

For example make the synch to the git organization A, and define it only for projects B,C, and D.

This would help in case to the same git organizations we have synched N Jira server, and we use the same project key in different servers, then this will impact the synch, since we will see commits not relevant for our project in server X.