2D example project uses NPOT environment sprites, looks terrible on my machine

I downloaded the 2D example project, but it looks like this:

The environment sprite textures are actually imported this way. Using Texture Type: Texture fixes the textures themselves but (as I understand) isn’t right for the game objects. All other values for Texture Type (except for Advanced configured to match the default settings of Texture) have the above effect.

With Advanced switched on, if I then set Sprite Mode to Single or Multiple, nothing happens except that I get this warning:

(NPOT would be Non-Power Of Two.) So I gather that because the textures do not have square power-of-two sizes they show up wonky on my computer. But, if that’s the issue, why does it seem to work fine for everyone else?

same here with the 2D example, but only when using some very old laptop… (ati mobility radeon x1600)