Yes, it WILL!

You only say that because you don't know much about neurobiology. It was proved a long time ago that the "deep nerve tissue," as you put it, does indeed die when it is separated from the surface skin. For a recent study on this phenomenon, see:

McKay Hart A, Brannstrom T, Wiberg M, Terenghi G.
"Primary sensory neurons and satellite cells after peripheral axotomy in the adult rat: timecourse of cell death and elimination."
Experimental Brain Research. 2002 Feb;142(3):308-318.


As I explained in an earlier post, the surface nerves are simply branches of the "deep nerve tissue." They are the same cell! Kill the cells of the surface nerves and you have killed the "deep nerve tissue" cells (dorsal root ganglion neurons).