I learnt something today :) I had no idea that effect was called screendoor alpha, even though I just saw it in action fairly recently in Walaber’s Parking Garage Rally Circuit game and it looks really cool.
Yah, it's fun. Back to the days of the earliest 3D and transparency. I ran into it first on the Sega Saturn myself, called 'mesh', with a fixed even/odd pattern. In this case doing dither 'level' based on alpha value. I hope some folks have textures with varying alpha. I haven't really tested that yet.