Risk of death is actually a pretty common medical term IIUC. It is obviously a risk over a period of time with two end points, not over the half-line from now t

Risk of death is actually a pretty common medical term IIUC. It is obviously a risk over a period of time with two end points, not over the half-line from now to infinite-future, because the second interpretation makes zero sense. It's not useful to point out that common and well understood terminology isn't perfectly precise.