Pretty much, custodians will often have additional services that...

Pretty much, custodians will often have additional services that they try add to the package they sell to fund managers and super funds etc. Securities lending would be one of them. Others might be data feeds or portfolio management. From memory state street purchased charles river a software service company that has management tools etc a few years ago.

A custodian will do the unit pricing, the accounting, performance reporting even the investor register if they are assigned as the unit registry which is commonly done.
the registry component is similar to what link services or computer share do for companies and the shareholder register.
The most important thing a custodian does is look after the ownership of the assets on behalf of the Owner for security purposes.....this is why they are called a custody bank...similar to a normal bank who look after your cash.

A PDS document of an australian issued fund or ETF will tell you who is appointed what.