I medically died a couple years back. I don’t remember a thing, so perhaps you are right. Still curious.
One is general anaesthesia, where you are "out"
The other is with something like fentanyl where you could have a whole conversation during the procedure, but when you finish the procedure, you don't remember it.
The experience afterwards is pretty much identical, but philosophically both seem very different.
Are as abstract as death. Names that we use to label certain phenomenon. You need more to demonstrate that the equivalence is false here.