If Canon's cutting-edge 28-70mm f/2 lens is anything to go by, we can expect Sony's lens to be hefty. It'll surely be larger and heavier than the Sony FE 24-70mm F/2.8 GM II, which weighs 1.53lb ...
The edges are excellent from f/2.8 ... lens, and of course correctable. We can measure -2.59% barrel at 24mm, changing as we zoom to pincushion with +0.53% at 35mm, +1.81% at 50mm and +1.87% at 70mm.