This is nothing more than a scary article about the well-known risk of denial-of-service and using shaders to extract pixels from a remote image -- and the media is slurping it up, using senteces like "run arbitrary code on the GPU ... render an entire machine unusable". Ugh.
It's a completely over-hyped article about something the spec designers have known since day one. The article takes the fact that bad OpenGL drivers can crash a computer to mean a security hole, something which driver vendors are actively participating in resolving for future cards.
I wasted my time reading that whole report a few days ago, and it basically said nothing that wasn't obvious and well-known. The only thing new is they are showing that there is no way to stop GPU code from extracting pixels from remote images embedded in a canvas, which is a real "security" hole, though there's not a whole lot of use for this.
Basically, the extent to which this *should* affect webgl is that they will disallow textures from remote sites -- in other words, it could add an extra annoying implementation step for collaborative spaces that could include models from multiple sites. Also, they might choose to add an Infobar to prevent arbitrary websites from crashing the computer or making it run slowly.
However, thanks to the media slurping this up and using words like "run arbitrary code on the GPU", "render an entire machine unusable", etc., people who read these articles and know nothing about the subject (i.e. idiots) will start to ask browser vendors to turn those features off. But to be honest, I hope people aren't this stupid and "FUD"-y articles like these are forgotten.
Also, the title is plain misleading -- a denial of service attack on buggy drivers should not be described as "Leaves GPU Exposed". A website can not in any way take advantage of crashing a user's computer, and browser vendors will quickly respond with a blacklist patch when they learn of the affected GPU.
If you disagree with anything I said, feel free to comment and I'll explain in more detail why what the article describes are not "security issues" in WebGL.