Actually, in CA anyway prop tax
is based on the sale price after the Tax Revolt back when.
But CA has a rule for everything and needs the money; the papers are about 3 in. thick at signing. I’m not sure it would fly…
The other thing to worry about is having enough cash to put down - remember you can't borrow the commission with the mortgage if the bank doesn't have the collateral.
The minimum down used to be 20% to avoid paying PMI (private mortgage insurance) every month, which would be a big mistake cause it really costs.
I’m no math guy so correct me if I’m wrong.
100,000 house – 20% down = $20,000 cash to avoid PMI
94,000 house – 20% down = $18,800 cash to avoid PMI
PLUS $6000 commission = $24,800 cash at closing
Your prop tax is 1% typically so you save $60/yr for every 100k of value.
Of course if you took that same 5k and put it down on the mortgage you would save $5,000 x 6% (or whatever your rate is) = $300/yr/100k for the life of the loan.
But then you wouldn’t be able to say yyou were getting away with something.
Silly monkeys.

The legitimate object of government, is to do for a community of people, whatever they need to have done, but can not do, at all, or can not, so well do, for themselves -- in their separate, and individual capacities.
-- Abraham Lincoln, Fragment on Government (July 1, 1854)