Osiris
Zen MBB Master
We've been over aspects of this topic before, and I did some analysis (which Dr Parker said he largely agreed with) showing the level of steering movement you'd need in order to get 6.5% of your power from your upper body, given the sample, but representative, MBB bike geometry. It's plus and minus 4.76 degrees. Less than that and you get less than 6.5% power from your upper body, more than that and you'll get more, given the bike geometry that was chosen. As long as your steering angle is oscillating ±4.76 degrees, and the oscillation is timed correctly with your pedaling, that's what you'll get. This is assuming your butt isn't moving around in the seat appreciably.
How much serpentine motion does this cause in the bike's path? At 5 mph, it's around ±0.152 feet, or ±1.83 inches. (If anybody cares how I arrived at that number, let me know and I'll edit this post. It takes some 'splainin.). Why "about" that much? Because there isn't necessarily a one-to-one correspondence between steering oscillation and path deviation, because the bike will roll a little bit in synch with the steering oscillation. But ±2" is probably a good maximum at 5 mph. At 20 mph, it's 4 x 2" = ±8 inches; i.e. it's not gonna work, do not try this, don't say I didn't tell you.
Now you're talking my language. Let me ask you this; do you think it's possible to run tests on a modified trainer to determine exactly how much extra power could be produced in this way? What I have in mind is a trainer resting on a movable base, which would enable the boom to move from side to side while pedaling. To make the test as realistic as possible, the trainer would have to be capable of rocking from side to side. There is at least one manufacturer who makes a trainer with that capability, although the name escapes me at the moment.