Making people financially whole and getting them back on their feet in the aftermath of a disaster of these proportions should be handled by insurance, and when that falls short, the government.
The problem is not that the money is private, but that it's donation relies on the compassion of individuals, not on laws.
If that's not the case and these donations are a tiny portion of the funds for the relief effort, then why do we make such a big deal about them, when there are probably a lot of other people who have donated a similar percentage of their (much smaller) net worth?