I guess it depends
I am supposing that by 'backing' you mean the core of a cored fiberglass deck construction. If that is the case, then the deck has lost significant structural integrity in the area of the rot. This could lead to deck fittings in those areas pulling through. There is a potential for dismasting if this happened to something like a shroud or forestay chainplate. Core materials add stiffness and strength to the deck; any rot should be repaired.