Without the will to live there could be no natural selectionmakes a certain presumption that species with the most will are most likely to survive and reproduce. Where as the fact is, natural selection clearly demonstrates that it is in fact the genetic advantages (stronger, faster, bigger, smaller e.c,t) which plays the vital role in evolution by improving the individuals chances of reproducing and passing down the advantageous genes.
The will to live is no more significant to evolution than the natural instinct to eat and breath, if any of these characteristics weren't present in living creatures then naturally there would be no life, the will to survive claim seems to just state the obvious.