We grew up on a farm with woods all around and we ate squirrels during squirrel season. We also has all manner of small game; rabbits, doves, quail and pheasant when the seasons came around and each had its own peculiar flavor. If it tasted like chicken, you'd know there's something wrong with it.
We also made jelly when the grapes and blackberries were ripe, canned cherries, preserved strawberries and blueberries in season, grew and ate watermelon and pickled the rind, canned tomatoes, put up corn, peas, beans, cucumbers, etc. We fished in the spring, putting away white perch and catfish filets, plus crabbed and dug clams in season.
Squirrels were one more thing to harvest. I never liked them much, challenging and interesting to hunt, but extremely tough to skin and hardly big enough to be worth fooling with. Tasted OK, but I'd rather have a good beefsteak.
Other (upland) people around home ate raccoons and opossums, but we never did, dunno why. Many rural folks and hill people around ate groundhogs, which aren't too bad if taken young and cared for properly. I tried it and didn't really care for it and most of our groundhog shooting was during hot summer, far from a cooler full of ice - just too many logistical problems to make it worth keeping something that tastes about the same way it smells. The people closer to water often ate muskrat (marsh hare) and beaver, which I wouldn't eat due to the blood-red meat just not looking appetizing.
So, having eaten squirrels, groundhogs, blue crabs and even a damn oyster, I still don't want a rat.