Nothing against your experiences at BSP. The standard response with respect to many traditional New England 4Ks or maybe 100 highest listers I run into are "they have been up to Baxter" I then ask them how many times and where did they go. The typical response is they have been once maybe twice to bag the list peaks. Typical was drive up the night before, maybe sleep in their car at the gate, next morning do the Coe, Brothers and Fort loop, then do the Cathedral via Chimney Pond up to Baxter Peak and Hamlin on the way down and head home. Maybe they added in Pamola and the Knifes Edge in place of Cathedral. Sure if the weather was right they had great memorable hikes but they missed out on the North end of the park and the north end of Baxter. My comparison is climbing Washington via Tucks and skipping the Northern Presis, then swinging by Franconia Ridge the next day and heading home having "climbed the whites".
Maybe you have or maybe you havent been up the Northwest Basin to the Northwest Plateau or the Howes Peaks ridge via the Northern Peaks trail or Wassataquoik lake but they are all part of what I would consider the essential Baxter.