I have no idea why it’s doing that. I’m guessing it’s just some weird OpenGL thing with how the viewport is setup. But it definetly does the same thing in Blender 2.66 on Windows 8.
You can just set background images for your viewport if that works for your situation. Not sure if there’s any particular reason you used Image Plane instead of just setting them as background images on your viewport. Here’s how to set them as background images if you’ve never done that before.
Here’s what i did with the images you provided. In your viewport press ‘N’ to bring up the right side menu. Go down to “Background Images” and check it.
Add 3 background images.
First one: Use “Front.png”, Axis to “Front”, Size to “.035”
Second one: Use “Top.png”, Axis to “Top”, Size to “.035”, y offset (Under back/front buttons) to .020
Third one: Use “Side.png”, Axis to “Right”, Size to “.010”, X offset to “.005”
You can set them all to display in Front of the objects instead of Back. Then when you go into Front, Top, or side view using 1, 7, or 3 the background images will show.
May need to change the drawing so the lines aren’t blue on top of your blue mesh though, makes them harder to see.
Hope that was helpful.