Mecanim : is it possible to use the same Generic animations on multiple objects sharing the same skeleton ?

Hello everyone! I'm actually developing a game for mobile so for performance reasons I replaced the physics of the cars' wheels by an animation.

I have 20 different cars sharing the same armature (1 root bone, and 1 bone for each of the 4 wheels), and I import them all as generic in Mecanim.

However, when I add the same Animator Controller (with Generic Animations) to the cars, it doesn't works : the rotation of the wheels is correct but their location changes even if the location isn't keyed in the animation). Their wheels take the position of the wheels of the car from which I imported the animations.

Does anyone knows how can I do to use this controller for all the cars ? Just as it's possible to do with Humanoid animations ? Thank you!

PS: the only car that works perfectly is the one from which I imported the animations, and I did the animations in Blender.