see, that's the kind of stuff I don't get. Any suspect path can be tested as a voltage drop...firstly, if the assumption is that the device will work noticeably better "correcting" a tiny voltage drop and that secondly, running a parallel path is the solution, go at it. Myself, I'm not convinced that these extras improve function. I'm comforted that manufacturers agree with me:I don't see ground wires running very far in any car or bike I've seen.
If someone wants an electric vest or gloves plugged into the dash, sure-run an extra ground wire to the frame(not merely to the existing B/W) I'd agree that suzuki's B/W wires were a little light.
but What "dirty ...ground strap"? I say, Clean it up! What impedance? ...it's amply sized to weld...and even if a dyna-S grounded to engine "wants" to get to the R/R (-), (assuming its got the higher potential), it can go there direct via the multiple engine mounting bolts to the frame, thence to the R/R (-) also attached to the frame. The frame may not be copper but its mass determines that it's resistance is effectvely 0. Likewise multiple steel bolts*
But,
*threadlock or antiseize notwithstanding...graphite or copper-based antiseize is going to be pretty low on the worry list especially as the threads themselves are not the only contact point.
You would be best to run that accessory ground to the SPG rather than the frame. The difference is if you go to teh SPG then none of the accessory return current will pass by the battery. Depending on how dirty the starter groudn strap is some of the frame return current will pass past the battery (-) lugs on way to R/R(-).
These PM alternators on the GS are just sensitive to voltage drops and only have limited output. As i have stated multiple times, it is not the end of the world is you don't use a SPG, but with degradations in contacts, the SPG minimizes the loss of charging voltage to the battery.
Again do your own calculations on how low that resistance how has be to avoid dropping less than 0.25V between battery(-) and R/R(-) when you have 10 amps flowing between them.
ANSWER: R=0.25/10=0.025 ohms This is a very low resistance and it drops charging from 14.5V to 14.25V