They've both very good. I've used the V4 and asph together with a lot of testing on the same cameras, and same film rolls. The asph has a more modern look, even the flare of it is a modern type of cinematic flare vs a glow like flare of the pre asph.
Side by side, the pre asphs feel much more compact. I use a V3 now, which flares even less than the V4, and much less than the asph.