popular / market opinion will make some properties more valuable than your fixed number, and some properties less.

What happened to price being set by individual willing to buy? How did we get back to anonymous markets again?

They are one in the same. The anonymous market is an estimate of what an individual will be willing and able to pay, the true value is cash in hand after surrender of title.

You can talk “market rate” or you can talk “biggest sucker”. But the wholesale rate is very different from individual sales made under false pretexts.

Where has a “wholesale rate” ever existed for titled real-estate? You might buy a piece of land and sub-divide it, but each transaction is its own negotiation of value between seller and buyer.

You’ll have the “overpriced” properties fill up

With what? Second class citizens who can’t get what they really want?

surplus housing is preferable to homelessness.

We’ve got oodles of surplus housing, what we lack is a rational distribution of wealth.