Aurora Serverless v2: question about local storage

Could someone from the AWS team please confirm if the local storage scales with the ACUs?

We are having issues with the provisioned RDS instance, where we often get:

Query 1 ERROR: ERROR: could not write to file "base/pgsql_tmp/pgsql_tmp6356.12": No space left on device

Wondering if v2 serverless would fix this for us.