There is one good reason to keep the status quo (death penalty without any actual deaths) which is that anyone given a death sentence gets their case reviewed and appealed by excellent lawyers working pro bono. The people who get life get no help at all and are just left to rot in jail.
I have read of prisioners being upset when given a life sentence as they know that no one will help them appeal their conviction. If you are innocent you want to be given a death sentence and sit on death row since you will have people helping you get your conviction overturned.