Because that's not their job.
In the Scalia quotation, he was using his lawful-evil dissent persona to cast aspersions on a very common review mechanism. This was his much regarded "style," but it doesn't really help people understand the state of play in this situation.
You fall into the trap. Unlike the golf commissioner (if they even regulate golf in OK counties), the habeas court is actually sitting in the center of its constitutive authority when making decisions on actual innocence in capital habeas.
"The solution here isn't to give judges absolute power."
It's seems all parties are on board - defense, prosecution, etc, so it would not be absolute power.
I agree, but they already do.
When the entirety of the system has failed and it's down to the executive, that's a problem. We want a system that's fail-safe, not fail-fatal.