“The mess involved in removing a lath and plaster ceiling is incredible.”
+1
It’s the worst DIY job I’ve done – the dust gets everywhere and removing the nails from the joists takes *hours* and you can say goodbye to any floor covering however much protection you put over it.
And once you’ve finished you still have to put up the plasterboard and give it a skim.
Having said all that – if the rest of the existing ceiling is in poor shape with blown plaster etc then it may not be flat enough to plasterboard directly onto. In one room I ended up screwing slim battens through the lathe and plaster ceiling to push it back up flat and give a good base for the plasterboard. It was a Victorian house so there’s was enough height to do it.