if you goto slrgear.com and compare the blur charts
- there is no difference at 70mm
- there is no difference at 100mm
- the F2.8 is slightly sharper at 135mm
- the F4 is slightly sharper at 200mm
and, the differences are tiny
and, you are looking at 1 copy of the F4 vs 1 copy of the F2.8 - as such, the variations between copies of the F4s themselves and the F2.8s themselves are likely just as big as the difference between F4s and F2.8s
my guess is that if you add up all the pictures ever taken with all the F2.8IIs, 85%+ were taken at F2.8 - otherwise the weight difference could never be justified
the F4 is a great lens but it is a weird lens because if you are an events person, you do shoot indoors, and you need F2.8 - and you would probably take an even faster lens like many 135L users chose to do if it was more practical (with the A7Rii and IBIS, the 135L is awesome as you can use lower SS)
i own both the F4 IS and the F2.8 II IS and I hardly ever use the F4, not because it isn't sharp, it is, it is just I need F2.8 - since i also own a A7Rii I am starting to use the 135L far more than I did in the past
Hockey and wedding photographer. Favourite camera / lens combos: a 1DX II with a Tamron 45 1.8 VC, an A7Rii with a Canon 24-70F2.8L II, and a 5DSR with a Tamron 85 1.8 VC. Every lens I own I strongly recommend [Canon (35Lii, 100L Macro, 24-70F2.8ii, 70-200F2.8ii, 100-400Lii), Tamron (45 1.8, 85 1.8), Sigma 24-105]. If there are better lenses out there let me know because I haven't found them.