You have no way of possibly knowing this. And I bet you its not true.
I'm no longer a billionaire, partially because I paid an astronomical amount in taxes (I don't play the tax avoidance games). And partially because we're donating a whole lot more than $400K per year. This is ONE donation. We don't publicize most of our giving because it attracts armchair critics like you, and its distracting from the goals.
(I make an exception for Zig and technical things because my influence for better and worse usually is net positive for the initiative)
But, more importantly, I don't think playing these "my donation is worth more than yours" games is productive. If you want to think that way thats fine, I won't defend myself or my family any further than this post.
Thank you for your contributions! Although I sincerely request you stop making an exception for "technical things" and stop publicising all of your "giving". There are few things common between the lives that the likes of you live and those enjoyed us lowly "armchair critics". Your boundless sea of magnanimity is incomprehensible by us plebs; it short circuits my inferiour thinking apparatus and all I'll able to wonder is "But what truly is the value of Mitchell's "givings" relative to his net worth?". It's truly an unfair burden bourne by superior beings such as yourself.
Now if you invest $6000 and no one else was doing it, they would probably have created some percentage of 1 bed out of it. And if 18 other people invest $100 each maybe that's enough to complete the bed for a year. And if those altogether 19 people hear that the money went to good use, they donate again and they tell their friends. Maybe the halfway house in 10 years starts earning $25k per year and they keep costs low and the beds start increasing, they rent more space.
The government forced funding breaks it and turns it into a fake jobs program, the community funding it actually makes the service accountable.
Public spending on things that require (a) maintainance (as almost all things do) (b) are massively less functional if the investment is not sustained (as many things are) is inherently going to lead to suboptimal results. It's equally bad if private entities do this, but for one reason or another, people seem to bitch about this less, because, well "freedom" etc.
Public spending (private too!) is also bad if it creates unnecessary bureaucracies and unnecessary obstacles. This can be tricky because defining "unnecessary" requires a set of values and these may not be universally accepted.
So, if you have a government program that behaves as in your hypothetical example, then the problem is inefficiency, corruption and waste, not government.
>>I donated $6000 to a halfway house last year and that doesn’t even come close to covering a single bed for a year. If I was a billionaire I could have built an entire halfway house.
We need some mechanism to select people who makes the choice. Popularity/lying contest (politics) ain't it. People making money conducting honest business is the best mechanism we have.