Put a bike on a repair stand by the top tube with wheels off the ground. Rotate the front wheel forward as fast as you can. Try to turn the handlebars. This will tell you how much force is involved. Also, try tilting the bike laterally by pushing the crank away from you and pulling toward you, also noting whether the front wheel steers as a result; This part I especially wonder about, if the direction the steering goes, matches road bikers as they climb a hill standing on the pedals; Some turn the wheel with each pedal stroke, I tend to keep the steering straight. Now put the bike in high gear and crank forward to get the rear wheel going wicked fast, then again, try to tilt the bike laterally by the (stationary) crank; noted the forces involved, but again, this is very fast wheel rotation, versus slow climbing speed.
Let us know the answers, whomever does this, thanks in advance. I'd do it but I have no repair stand.
"One valid test is worth a thousand expert opinions." - Engineering Proverb