'Mortician' has invaded British medical and death literature. Sorry, McGrath, UK usage will yield to American every time.

Article about Scottish Television broadcast-

"A team of morticians from Glasgow is travelling to France to exhume and identify an estimated 400 British and Australian soldiers killed during the First World War and buried in a mass grave."
http://video.stv.tv/bc/news-090429-france

See "British National Formulary," Section on British Medical Association ..."and other risk groups such as morticians and embalmers ..."
betamedicinescomplete.com/mc/bnf/current/6488.htm

"Work and Environment
Certain jobs can put people at risk from hepatitis because they may involve contact with infectious body fluids.
-Healthcare workers
-Other workers who might come in contact with body fluids including morticians, sewage workers, ..."
http://www.britishlivertrust.org.uk/home/the-liver/liver-diseases/hepatitis-b.aspx

All three of the above citations from UK websites.

Morticians, who in most European and North American countries are required to have training and a license, wish to distance their practice from that of the businessman-undertaker.