I have the sprocket on my Micargi cruiser with only one donut inside, BUT, there is a stop ridge on the hub which fits the sprocket hole perfectly otherwise (it's a 7 speed hub), and so the stop ridge keeps the sprocket 1/8" off the spokes- No Problems.
I had the original on shiney side before getting a 36 tooth- unlike the instructions said, which I think are rigid and opinionated. Maybe that's best for coaster brake. But somebody meant for the shiney side out and the offset teeth in. On this bike, that's what alligned best. The important thing is always the allignment- sight it carefully,
but, no, don't torque the bolts down so the sprocket pushes on bare spokes!
I have this other Schwinn Traveller build with the red 34 sprocket bolted directly to the Schwinn 10 speed hub-
I bored and drilled this sprocket myself, and it won't fit on another hub, and the standard kit sprocket would not fit on it without an adapter- the high flanges would be in the way. But Holy Cow, is it lightweight! Have a narrow 410 chain and sprocket on motor. The build is done but waiting for the weather to test. It unscrewed the new narrow motor sprocket the first time, while trying to pedal start, but think it's tight now.