I'm not sure bugs in the ground would munch through a whole lawn. (I could be wrong!)
There's a couple of reasons I can think why your lawn might be dying back over winter. Sunlight levels drop and the sun does travel further north which might shade out part of your lawn, also, some lawn grasses are not as tolerant of cold weather. I'm sure you made an informed choice of grass seed, I've never actually met anyone who sowed their lawn with warm season grass, but I know it exists!
Good luck with what you decide. (I cut a very deep shade border where my grass didn't grow so well. The sun struggled behind some large shrubs and the ground never dried out, the grass that grew was lush but ugly patches and now I have a gorgeous shade border some 15x15 