Jesus died as our lamb, in our stead!John, I use satisfaction because that was portrayed in the OT and is expressed by NT writers. I also read that it was heard at various times by those near the Christ.
Satisfaction does not remove the aspects of blood sacrifice, but what it does is remove the thinking that Christ's suffering was not a quid pro quo or some kind of exchange that is often expressed by those who endorse substitution thinking.
Christ is not a substitute, but the divine and through Him we have life everlasting. If anything, Christ is the substitute by removing the temporary and providing the permanent reconciliation.