Don't quite understand what is, and how it get started, There's no requirement for annual service for a Perazzi.
The term "annual service" was an old British tradition, for their fine English game guns under severe weather condition to prevent rust and wood swelling.
Perazzi was designed to withstand heavy usage and easy owner maintenance, if you know how to take the stock and trigger off the gun, you can see everything of the gun, change the springs is all you need to learn to service the gun until it gets loose for a new locking bolt.
and certain Perazzi smiths at the Grand are offering "Perazzi Annuals". So I guess you could call Giacomo's and ask them about it. It's a service where the inspect your gun, oil it, and recommend anything they find that needs fixing... sorta like quick lube oil changes telling you it's time for that transmission fluid flush...
Trapshootingusa magazine in its July/August issue has an article about Giaocomo sporting USA and the service that they offer. I suggest that you read this and maybe that will help you reach a decision about annual service.