Writing here as suggested by Ludwig Parma from Customer Advocacy Team on ticket https://support.zendesk.com/hc/requests/6731891
I configured the plugin and I can raise issues from Zendesk to both Jira Support projects and Jira Service Desk projects.
In Jira Support, I can see the "Zendesk Support" tab and I can enter a comment and the comment is sent to Zendesk correctly.
In Jira Service Desk, the "Zendesk Support" tab is not shown at all.
Is Jira Service Desk going to be supported by your plugin? If so, when?
Thanks

