... That bass drum wants to be caressed rather than kicked .
That's what I've found with mine. Mine's not special, a Frankenstein'd 70's Slingerland with a calf batter, and I use a prehistoric woolly mammoth type beater.
If 1 is softest and 10 is loudest, I play mine 1,2,3 and accents maybe 4, whereas with plastic heads and a hard felt or wood beater I would usually be in the 6 - 9 range. Nothing I planned, it's just what sounds best to my ears. I use an old Neumann on my kick and next time I'm going to try miking it from the batter side. Why do we mic every drum from the batter side but not the kick? If the kick's batter is miked, it's usually the secondary mic. It could be for convenience.
And it does feel like a subwoofer!