Your clearance would read "copy your emergency, approach at your desecration..." Or something to that effect.
Chuck and I have obviously done GCAs. Do they even exist any more Chuck?
On the other hand, true zero zero is pretty rare. A glassy water landing, even in a Navajo with the LOC centred, will result in a safe landing. Trick is, get it stopped ASAP.....while you're still on pavement!
WD