Living forever sounds awful. For one, I am extremely curious what happens when I die. Without death, life becomes a hollow shell, or at least I imagine it would, as you would lack urgency.
Are as abstract as death. Names that we use to label certain phenomenon. You need more to demonstrate that the equivalence is false here.
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.
On the one hand you say without death life would lack urgency, yet you seem to be open to life after death. If there was life after death... wouldn't it lack urgency?
If there isn't life after death, you simply don't exist anymore and there are no more possibilities open to you. So I'd be more than happy to postpone finding about out for as long as possible.