To add to my last comment. If you trust sites like DXO mark they show that the 2.8iii is leaps and and bounds sharper than the the 2.8ii but chromatic aberration is only slightly better. However when compared to the f/4 the 2.8iii is only slightly sharper nothing you would probably ever be able to notice without some extreme pixel peeping but the f/4 is still better in the chromatic aberration area. So again unless you need the 2.8 dof I still think the f/4 is the way to go. I have found the IS offers a solid 2-3 stops of stabilization when hand holding. The 2.8iii dosnt have IS so while it has the wider aperture I'm not sure that you will get any better low light performance from the 2.8iii, at least not $1000 worth. I used my f/4 on a trip through Europe and photographed many cathedrals and churches that were very dark and no flash or tripod were allowed. I can say with ever bit of confidence that the f/4 IS version of this lens did NOT disappoint.
Another lens you may consider if 2.8 is important to you is the Tamron 15-30 2.8 VC. That lens is a touch more pricey than the Canon 16-35 f/4 IS but still cheaper than the Canon 2.8ii and way cheaper than the 2.8iii and it has image stabilization as well.
There are several comparisons on the Tamron vs the Canon 2.8iii on you tube. I particularly would go the Dustin Abbott comparison of the Tamron 15-30 vs Canon 2.8iii as well as his two reviews (especially part two) of the Canon 16-35 2.8iii for some knowledgable and real world critique.