Hmn filter-trons comes to mind on bigger screw head, if i remember correctly zhang from zhangbucker offers bigger head screws on some pickups and the difference is very notable
Wanna take that to the extreme?, compare a jb with double rows of scews with a dean tyrant (jb clone with invader like hex caps)
The difference is really "in your face", way more percissive low end and thump
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If the screw is substantially larger, a couple things happens that will indeed increase bass; first the inductance goes up because you replace air core with steel core by some percentage, second you get more eddy current attenuation, and the screw head is important in that respect because it's right in between the coil and the string, where most all of the magnetic action is. But when talking about the difference between slot and hex, the difference in volume is superficial.
I saw it mentioned in another thread that they put a series cap in the invader neck pickup in order to cut down on the low end. I'd be willing to bet that it was necessary in order to brighten up the pickup, as a result of the large screw heads causing the high end to be excessively attenuated for a decent clean tone in the neck.
So, let get this straight right away: when you say "nobody", what you really mean is that, as YOU don't know, you just can't wrap your tiny head around even contemplating the remote possibility of somebody would. That's narcissistic personality disorder taken word-by-word directly from the manual!
I think I just wet myself! Laughed out loud!
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