The question is can I simply run wires right from my amp to the VRS-1 without returning them from the sub just giving the VRS-1 a input only signal? 
Could you clarify Don? I'm a bit confused.
Running a pair of speaker wires to the VR-S1 will activate the high level inputs. The black aka negative run serves as the return or ground. Yes you can definitely do this. The only difference with the REL is that the high level input in the sub uses a Speakon connector instead of standard speaker terminals.
The high level outputs are a convenience option that allows you to send the signal to the satellite speakers, not back to the amp. I don't recommend using the high level outputs. A pair of speaker wires directly from amp to sats will give you better sound.
Enjoy!