Phantom limb syndrome… With a tooth?

So, if phantom limb syndrome is defined as “the sensation that an amputated or missing limb (even an organ, like the appendix) is still attached to the body and is moving appropriately with other body parts” (from Wikipedia), then can this sensation that my left lower wisdom tooth is still in my mouth, hurting and falling out be described as ‘phantom tooth syndrome’?

Inquiring minds want to know.