From Etihad site:
First and Business Class tickets are eligible for the Etihad Chauffeur service. (With the exception of Business Saver)
For Etihad Guest Redemption Tickets (fare class I and O) booked in First or Business after 1 April 2018 will no longer be eligible for Etihad Chauffeur...
Update on complimentary transfers Virgin/Etihad in Abu Dhabi - now only available for full fare passengers. Here is the reply I received after attempting to book:
Thank you for your complimentary limousine transfer service request.
I can confirm that for flights operated by our partner...