Typical AVRs only have a single Compnent Video Out, some have 2 In and some have 3 In..
Since the connections for Component Video Out are RCA jacks why not try running Y adapters
in each of the AVRs' 3-jacks...
Suggest you use good quality cables and keep as short as possible, yes you may create a slight impedance/level
mismatch but likely things should be fine..
Just an idea..