Grasshoppers play a role in the ecosystem. Balance is important. Your fable is cute, but ignores the necessity of fully understanding the ecosystem that scientific study reveals. Likewise, your ideas lack a solid background in ecology, environment, human behavior, etc. AnCap is also a fable.
Meh, I think it's a valid tale for kids encouraging them not to be lazy, and to save for a rainy day, etc. It doesn't seem to fit the antisocial vibe of the "FY,GM" thing though. To make it more accurate, you'd have to change the story a little bit:
Both the grasshopper and the ant spend all Summer collecting food for the winter. Nobody does any singing. When winter arrives, by a freak occurrence the grasshopper's larder gets flooded and he eventually runs short. So he goes to the ant to see if he has any spare food. The ant replies (in Eric Cartman's voice) "let me get this straight, so you spent all summer singing and doing nothing, while
I toiled in the hot fucking sun, and now you want some of
my spare food bitch? You green ones are all the same!"
"But without the grasshoppers there will be a missing parts of the local ecology that will indirectly effect you!", the grasshopper said. "The death of any creatures of the forest effects everything in the forest!".
"We are totally independent of the natural world and do not need any help, nor will we be forced to contribute outside of our own hive. We don't believe in the interconnectivity of all things, because that leads to systematic theft of everything we hold dear. Greenie, you need to have secured your holdings more completely with insurance and better security." said the ant, which was entirely oblivious to the tenuous nature of their hive in the grand scheme of things.