I got a projector set up with a shader to do additive blending (its a customized blob-shadow shader), alpha-only falloff texture and RGBA cookie texture. It all works with just a minor problem: The projected texture repeats infinately outside the projection cone.
That almost did it, yet there are still some odd artifacts. I tried painting a black edge around the projected texture… that dimmed the streaks a bit but didn’t remove them entirely. Also the streaks in the projector’s YZ plane aren’t going away.
Clamping stops the texture at the edge pixels, then stretches those pixels off in all directions. Make sure your texture has a single colour border around it to avoid that.
EDIT: oops, I see you tried that. What about a thicker border?
EDIT 2: does it help if you remove AlphaTest Greater 0?