We can see a major concern here that if cross-organization Jira integration is allowed or not. If yes, then we have seen that we are unable to link specific project Jira access to Greenlight Guru. Greenlight Guru is accepting the generic URL i.e. jira.taazaa.com and not the project-specific URL. We have multiple projects of other clients running on our Jira portal.
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In an on-premise environment you are able to do any integration you are capable of realizing and that are in accordance with out company's security policy (if applicable).
For any specific integration approach please also make sure you review the documentation the integration partner (in that case Greenlight Guru, if I am all getting correctly) provides. It might be impossible from Atlassian Community to state if all aspects are possible when realizing the integration you mentioned.
