I agree about the studied part, but actually, I always thought EC came across as the more agressive of the two *IF* you compare Beano with Fleetwood Mac or Mayall era Green.
I also hear a lot of tradition in PG's playing - different influences from EC and a different approach to them, but to my ear there's no doubt Green did as much and as deep listening as Clapton.
Of course, at the end of the day they were both outstanding in their way
I can see where you come from, but Green's, playing is much more fluid and jammy like Duane Allman, but could get agressive (see Green manalishi)