Look, you’re absolutely technically right, but SpaceX is one of capitalism’s best examples.
Because… is the Falcon launch business profitable? SpaceX has spent massive amounts of money to launch their rockets hundreds of times to bring the cost this low. Because they have economies of scale and can learn from their mistakes at a volume no rocket manufacturer has ever achieved.
So your question should actually be: can NASA build a rocket that can do 18 cargo launches for less than $1.6B? The answer is probably no. Because Falcon 9 isn’t a one-off design, it’s the cheapest launch system ever designed. By a massive margin.
A bigger point here is that, sure, you’re right, there are many late-stage capitalistic businesses which basically only exist to increase profit and cut corners as much as possible, to customer detriment. And probably scam the government out of huge amounts of money.
But SpaceX isn’t a late-stage business like that.