Further clarification and answer to the OP's question;
Magnets will have no lasting negative effects to the Droid RAZR or RAZR MAXX, except the possibility that it may distort the compass mechanism. Since I don't know where the compass detector is located in these phones, I can't say whether the magnet locations on that case are near or far from the compass.
As for distortion of the "picture tube", since these phones do not have a "picture tube", also called a Cathode Ray Tube or CRT (large vacuum tube with phosphor and electron gun technology), magnets will not distort the "image" on the "screen" like it will with the former technology.
For those who are curious;
Inside the "picture tube", there is a high voltage "gun" at the rear which "shoots" electrons toward the front of the picture tube. There is a large set of coils (electromagnet, or "yoke"), on the back of the tube . The primary coil "focus" those electrons into a fine beam. The secondary coils are used to actually "aim" the electrons toward the screen. By carefully "deflecting" those electrons into scanning across the screen in repeating horizontal lines, the phosphors on the back surface of the screen glass which are bombarded by the electrons glow when excited and that is what makes the screen light up and create the "pictures' on the front of the "tube".
View attachment 57505
The reason magnets distort images on "picture tubes" is that magnets are used to create the image on the screen, and by bringing an additional magnet near the tube, it causes the electrons to deflect in a direction other than what the TV itself is trying to send them, causing the screen images to distort and change color. In older picture tubes, bringing a permanent magnet near the picture tube would permanently distort the function of the Yoke and the screen images would always be distorted. Newer picture tubes have a built-in "De-Gaussing" circuit which energizes when the TV is powered on, which essentially demagnetizes the Yoke so that even if magnetized accidentally, they will revert to the normal image once powered off and back on.