Somebody is paying, and even if you're not paying out of pocket it definitely matters how much the government is paying and economizing, because they have to stretch your tax dollar/pound too.
That's why I said "(directly)". But yes I agree with your point.
Its unclear to me whether figures quoted are prices you pay, or cost to do the procedure. Some at least appear to be the price you pay ("Shetty did it for about $10,000 and turned a profit"), which as I don't pay anything directly, suggests that they need to qualify 'cheapest'.