Makes perfect sense. Though, here again, having teams with good hitting pitchers vs teams with poor hitting pitchers is still a bit like having a good DH vs a not so good DH. The BA, as you well know, is only part of the story. Walks, bunts, SAC flies and the like don't factor in to the BA but still help the team.
i've posted this elsewhere but worth noting again, re- (re-) listening, JRM c. '62-'64 (??) employee Don Kent and brilliant blues / old-timey scholar on John's Old Time Radio Show, Big Joe Williams sleeping in the basement (where Don's filling mail orders)--
I think it's on a later broadcast where Don talks about Bernie Klatzko having found Berha Lee Patton, Don & his girlfriend then taking Bertha Lee to see Howlin' Wolf, who (understandably) ignores Don & gf, says "It's been a long time Bertha Lee..."