Joyce Tick,
maybe for some captains the emergency is than over.
But let's say it was an inexperienced F/O. As I am. I would declare a May Day even if he was dead..
In a situation like that, you just want all the help you can get. I'll bet the stress levels are higher than you expect. Sure enough you know how to handle the a/c but there's more to it! And stress also causes you to forget things!!
For example setting something like the QNH on the Captain's side.
Don't know how it is on other a/c but the type that I fly the EGPWS is related to the captains QNH setting. And the last thing you want on the approach is a "WHOOP WHOOP, PULL UP"
And if you think everything is going allright, you can always downgrade it to a Pan, but I would always start with a May Day.
cheerio
