I think you are getting to the core of the issue, which is that when the underwriter is decoupled from the result, they must either be regulated or their customers (the real creditors) must have skin in the game. The regulations have been ineffective (so far), and the creditors have always been bailed out; we should not be surprised that creditors are unscrupulous about lending to questionable borrowers.
It doesn't matter that it makes loans more accessible (in fact to some degree that's part of the problem); it doesn't matter that it makes the market more efficient when the market is up. The decoupled incentives make the system prone to extremely painful crashes that are unfair to everyone.