I am definitely not a network expert, it is probably my lightest skillset in the IT area. Given that though here are my thoughts:
1. The ip cameras all have static ip addresses, as do all the printers and the server.
2. Although many businesses now days use some kind of cloud business app, making outside communications critical. This client has all their main apps behind the router. So for the most part, other than email traffic, internet browsing and phone, there isn't much coming in or out of the network. The cameras talk to the camera server, so most communications should be within the switch. Their main apps are Quickbooks and a scheduling app. Both reside on the server, along with their files, so again, most communications should be done through the switches, not much going in or out of the LAN.
So my understanding (albeit it basic) tells me that most communications are done through the switches, not the router.