You'll to "force" the coordinates by using a Texture_Space_Generator node. You will output this node in the Coord input of the 3D texture node. In the Space_Generator node, you will define the projection, and the 3D texture will use this projection.
I built an example for you:

You will have to plug the whole bump branch into the surface shader node, not the material node. Also, I used a Color_Correction node to adjust the contrast of the bump. You can combine several bump maps with vectorial nodes and mixers.
Hope this helps
Salutations - Cheers
Bernard Lebel