I think it IS your money. Congress created this law to give money to everyone, for the purpose of seeing you through the shutdown. There was no means testing, everyone got it, to spend on themselves, in whatever way they see fit. Some will spend it on rent, some on food, some on medical bills. Others might do nothing but save it, since we don't know if we will lose our jobs at sometime in the future.
Certainly, giving it away is also an option, but the idea that you SHOULD give it away, since it isn't your money, I think is incorrect.