Notwithstanding the statements about jumpers making a difference and connecting at either the high or low side, cross wiring + to hi and - to low, cannot make any difference since the current is AC and effectively the + & - change continuously according to the frequency.
Try it and use your ears to determine what happens. You and anyone else who actually does the experiment, will easily hear the difference. It's not that subtle.
We are forced to do it here on a regular basis with the Linn Akurate speakers which have a true 5-way split crossover makeing them quin-wireable. When choosing the best way to hook up our two speaker cables, there are obvious differences depending on which drivers get the direct connection.
The point you make about AC has nothing to do with the reason that a direct connection sounds different from an indirect one. If we were talking about illuminating a light bulb, your analysis would be fine, but the sound we perceive through a stereo system is a much more complex animal. Lots of things matter (are perceivable) in audio that don't matter in other applications.