I believe it will depend on how far back your Irish connection is. The solicitors that I used for my application by association (pending) told me that the furthest they will go back is great-grandparent. I am not an immigration lawyer though, so maybe you should get some legal advice.

Application Based On: Irish Ancestry & Association
Applied Date: January 11, 2021
Application received Date: January 12, 2021
Acknowledgement & Passport Returned Date: February 23, 2021
Second Letter: None
Approval: Pending
Date of Ceremony: Pending