Ah, but you forget that the LP has a maple top (brighter) while the SG is all-mahogany (fatter), so it's a wash at best. A pickup's resonant peak doesn't change when you put it in a different guitar, only the emphasis (or de-emphasis) on the peak.
I really think you'll find it a little muddy, but you've got nothing to lose by trying one out and you may decide I'm all wet and that it sounds great as is. Besides, if your ears do decide they agree with mine, then you can always open it up and unwind it by about 1,100 turns.