Terry, there is no doubt that changing the weight of the headstock will cause a dead spot to move, or disappear. I have read many anecdotes regarding this problem, which seems fairly common, though not universal, among bolt on, one piece necks. Some have devised crafty ways to hide the additional weight, without attaching a fat finger.
I have had a real world example of this phenomenon. I purchased an 87 Japanese Precision bass, that someone had removed the original tuners and put on some very light weight replacements. This bass had a significant dead spot at the 7th fret of the G string. I wanted to bring the bass back to a more original condition, so I installed the Hipshot version of the original open gear clover leaf tuners, which were noticeably heavier. The dead spot disappeared. I can understand your aesthetic opposition, but the science is real, not snake oil.
Of the 7 or 8 one piece, bolt-on necks I've owned, only two have had dead spots. The G&L ASAT was pretty minor, and I learned to ignore it. The 87 P bass I mentioned was really bad, and if the new tuners hadn't fixed it I would have replaced the neck, or maybe bolted on a fat finger, who knows..........