Natively, the 100L is very slightly sharper in the center but definitely softer away from the center, compared to the 70-200 II at 200mm.
See Measurements>resolution>field maps
The 100L has more resolution in any part of the frame at any aperture than the 70-200 II at any length, no?
See what you did - you went and opened the DxO can of worms... Try comparing their measurements of the 70-200 II with their measurements of the 70-200/2.8 IS MkI - the MkI performs better in their tests. In their tests, and no one else's. Personally, I think they got a bad copy of the 70-200 II. My 70-200 II is slightly sharper away from the center than the 100L, that's true for the tests on TDP (although there really close) and also on photozone.de (compare 70-200 II vs. 100L).