Earlier quoted context omitted.
I think you misunderstand what I mean by "distribution" - there is already enough housing for everybody (see article), it is just not distributed in an equitable way among people who need it. Nothing to do with shipping houses.
There obviously isn't enough housing for everybody. How many people do you think want to live in San Francisco (including those displaced by housing prices), but can't, and therefore live out of town, out of state, etc.? The statistic about vacancies is only meaningful if you assume that the only demand for housing in SF comes from the homeless, which is clearly absurd.
In a society with decommodified housing, some amount of housing will need to be built to keep up with local immigration. That is massively below the amount that would need to be built to try to prod second-order market effects to do what we want.