The Abomb is known to be more "90s" than "80s" but from experience with a ABomb bridge in my SG it can cover a lot of genres from typically 90s raw aggression to more classic hard-rock, rock and even bluesy stuff, just playing with the volume and eventually tone pots. Tight&fast yet chunky lows, lots of clarity, but rather abrasive. If you're looking for a sweet rounded warm top end then it's not what you want, but it works fine for me for our repertoire (mostly a mix of punk-rock / alternative / grunge / stoner stuff) and I could have used it for the track you posted (which is not far removed from some of our songs).
FWIW, while my Abomb-ed SG is my favorite weapon for our stuff, I can (and have) play(ed) our whole set with both my Vox Custom 24 ('81 MiJ uncle matz, going-thru maple neck, maple sides, Crawler set) or my Hofner Verythin (semi-hollow, RiffRaff set), and no one ever complained about my tone, quite on the contrary - and, sorry to have to say so, but in a thin mahogany body / maple cap guitar, my bet is that just any random BKP 'bucker would sound better (more organic, more alive, and punchier) than what you used on this track :?
wrt/ "picking dynamic sensitivity", that's part of the BKP trademark. My first BKP set was the Crawlers - which are, by BKP standards, rather compressed - and the guitar they're in does add it's builtin' compression due to maple and neck-thru, and yet everyone who played this guitar (including the guys from the best local guitar shop) is amazed by it's clarity and dynamic. Now I've tried a couple other sets I better understand why they are labelled as "compressed" on this forum - when compared to the Abomb or RR, they _are_ compressed, but in a good (sounding) and helping (for us mere mortals) way. I once found the Crawlers to be very unforgiving, now I learned what "unforgiving" really means - even with a full-cranked SLO-like amp, you still hear each and every single nuance AND mistake.
Ok, I'll try to stop here: the best "decisive guidance" you can get is from Tim (bkp founder and owner), as long as you manage to clearly and truely explain what you're after. The guy really knows it's products, and the only time I sent a pup back was because of me being wrong on what I thought I wanted - the pup was exactly what Tim described and FWIW it was so good by itself I ordered the full set (RiffRaff) for another guitar. In two occasions, Tim's advices were rather unexpected to me, in both cases I choosed to trust him (heck, 14 days return policy so what), and I finally came to think the guy has some magical mystic mind-reading power (no it's not the case - he just knows his products).