That's not even an argument. You could ask yourself if you think early miners mined for profit. Obviously there was no economic incentives involved until bitcoin had a price.
Anyways, no need to disprove anything, some guy already did it:
http://divananalit.org/Data is clearly showing the opposite of what you claim.
divananalit.org says
Mining cost ... depends ... only on: ... difficulty.
... to show you a funny dependence: bitcoin price usually doesn't come lower than mining cost.Mining
cost depends on
difficulty,
price doesn't come lower than
cost, therefore
price doesn't come lower than
difficulty.
blockchain.info zoom in on when difficulty first rose compared to when price first rose.
Difficulty 1 to 1.180 on 12/30/2009
Price 0 to $0.07 on 8/17/2010
Unless you're a
bank; creating money out of thin air, work
always comes before a price is assigned to said work.
That's why employers pay you
after working 40 hours, unless you're Drake and get an advance, in which case you'd already proven that you're worth something.