Yes, it should in the sense that any device attached to the unmanaged switch will reach the router.
However, are any of the devices attached to the unmanaged switch able to VLAN tag their output?
I suspect not, so then you run into an issue, there is no way to parse device traffic to a specific vlan and the traffic will go to the router as normal lan traffic based on what ethernet port on the Router is attached to the unmanaged switch. If you didnt want those 3 devices on normal LAN traffic you could assign another LAN, called DMZ and have them on that LAN and then use firewall rules approp;riately (just make sure they are not on the same bridge or not the bridge of the regular LAN). You could assign ONLY ONE VLAN to the ethernet port going to the switch and then accept untagged packets from the devices (all traffic coming from the unmanaged switch) and thus they would be on a single VLAN.
Not much more to do though until you provide better requirements of what you are trying to accomplish in words without speaking to design or solution space.