During a cluster failover event does a read-write domain controller need to be available

Hello, can someone please advise on the following

If I have a branch office with 'only' read-only domain controllers

I also have a Microsoft 2012 R2, with SQL always-on clustering setup

if the connection back to my main office (and therefore back to any read-write domain controllers), if 'offline' when a cluster failover event occurs, are any records updated in AD (including DNS records) are part of the failover event ?

If so and only read-write domain controllers are available, I assume the failover event will not occur/fail ?

Please advice, thank very much