As an owner of a 70-200 f2.8 IS L, which I love in the studio, I find I rarely carry it in the field. Too big and too heavy.
Instead, I carry my 200 f2.8 L prime. It is sharp as a tack, will be used on a tripod anyway, and weighs a lot less than the zooms.
Many of my shots with the 200 are as panos, so it works very nicely paired with the 24-105 on a FF camera. I rarely miss the 70-190 part of the range, and usually shoot as 200 anyway, so I just use the prime. Cheaper a bit also!
The 16-35 f2.8 L II is hard to beat, but I do frequently leave it behind and use a Zeiss Distagon 21mm f2.8 . Again, for the same reasons I like the 200 f2.8. smaller, lighter, and very sharp indeed.