What makes an Oracle Applications DBA different from an Oracle DBA?
As your own question answers: "Oracle Applications is an [ERP]." An "Oracle Apps DBA" will be someone who is experienced in working with the particular schema and tooling around this ERP. There are hundreds (if not thousands) of packages, tables, stored procedures, and interfaces that are specifically built for the ERP. It is not a trivial database to admin. You can get a brief glimpse into some of the things in their ERP by looking around - for example, this blog - or by logging into a Metalink account as someone who is a customer of their ERP solution, where you can get ERDs and other documentation.