My $0.02...
Regarding direct injection 2-strokes, what I saw during my co-op at Mercury Marine in 2006 was that, as has been mentioned, the "dirty 2-strokes" are going away, and if I remember right they're probably out already (haven't looked in a while). I'm not familiar with how the emissions of the DI 2-strokes compared, but the effort at that time was focused more on their Verado supercharged 4-strokes. There wasn't a lot of development with the Optimax DI 2-strokes, and they were replaced by the Verados as the flagship engines. I also know that while oil consumption for the Optis was quite low for a two stroke, there was still oil consumption, which I can't imagine would be great from an emissions standpoint. Also worth noting, I don't recall DI 2-strokes coming out in anything outside of outboard boat motors and snowmobiles.
Now that being said, strategically speaking, a two-stroke would make a lot of sense with a lightweight single cylinder car. Not to say that the single cars need the help, but I can easily imagine a 350cc two stroke car coming in at under 300 lbs (without compromises to performance) and doing very well. However, a DI two-stroke is not likely lighter or simpler than a modern 4-stroke...
One last argument for a two-stroke, taking into consideration that there are design points to be had for something that is "like a race car," never mind the marketing potential, how cool is this:
378 hp 2-stroke 3.3L V6
Bear in mind that engine weighs under 200 lb...