Nice comparison. Aldrich's sound more scooped than the BurstBuckers. I would imagine they would get lost in the mix more so than the BB's. Based on this comparison, I'd pick BB Pro's.
If you're on a ToneQuest for your LP, be sure to check out some
Bare Knuckle Mules. I have an '08 LP Traditional. I tried several different pickup sets including the BB Pros. My ToneQuest abruptly ended with the Mules. They have a certain harmonic richness and evenness that resonated nicely with the guitar.