HSM on S3 and mailbox move

Hi everyone.

Let's say I've a multi-store setup.
Each store has its secondary HSM volume on S3.

The question: if I mailbox move an account from one server to another one, will all the data in the HSM be moved too?
In other words, does it works like a "standard" (non S3) HSM volume (and data has to be move between servers AND volumes)?