Ṣaḥḥa al-marīḍ means “the ill person recovered”; aqāma al-musāfir means “the traveller became resident”; and thumma mātā means they died afterward. The order matters.
The legal contrast is not simply death versus survival, but death with no interval for qaḍāʾ versus death after obtaining an interval in which qaḍāʾ was possible.