It's about half an hour a day, that's all you really need. True, if you can't spare half an hour, then you've got greater issues.
The latter part of your argument I personally have never ever once experienced, nor have anyone I known experience it outside of the gym at high school. People grunt when exerting effort, everyone wears headphones anyway. And even then, you don't need to go to the gym to lift, calisthenics are perfectly fine for those with no access/no desire to go the gym.