Hi folks, please confirm that all four remote controls in all four rooms will be able to control all equipment in all four rooms?

For example, the MX980 in room #4 should be able to control the TV in room #1!??

Each of the four rooms will have an MRF-350 + RXF-250 daisy chained.
Does room #4 MRF need to plug into room #1 MRF to complete the chain?
Not sure if the in/out are full duplex.