Yes, the SAIP relay can be jumped, directly from the battery.
They should be shut but they siezed open a long time ago. I put another valve upstream to prevent moisture from getting to the pump and I need to make sure it is still flowing enough air past that point.And yes, the O2 sensor is the tattler for the SAI system.
But your combi valve should be closed unless vacuum is applied to the small port.
I am lucky enough not to have to pass inspection so I am not in a huge hurry to fix it, but at some point I will want to get the light turned off so I can sell it.Just my 2 cents, but it seems like you might spend a lot of time tracking down a "problem" that really doesn't affect proper operation of the vehicle. If you just hate having the CEL on, or want to figure it out for the challenge of it, then nobody will fault you for that. But in reality a slightly low SAI flow in one bank will not cause enough emissions increase over the life of the car to offset the energy and resources you might expend fixing it.
Of course, in the end only you can make the call.