Earlier quoted context omitted.
If Let's Encrypt needs to revoke the certificate prior to expiration (for compliance or any other reason) ARI can let a client know in advance of the revocation. The client can then renew early and avoid a disruption in service. Clients that renew based on ARI can also help Let's Encrypt avoid disruptive load spikes since ARI signals can spread out renewals.
Ha ok, so it's specifically for revocations. Still a revocation would be done manually. It feels odd someone would revoke their certificate and not think about re-issuing a new one.
There are other related things that aren't specifically revocation: For example, certificates contain embedded Certificate Transparency timestamps from CT logs. If one or more of those logs fail, we might want to reissue those certificates before browsers distrust the logs.
(I work for Let's Encrypt)