Only major draw back from single point lifting from the Headstock could be if the Headstock is not cast into the main bed of the lathe.
If its only bolted and not dowled you do run the risk of possable movement resulting in alignment possably being out.
Some times it doesnt take much of a movement to throw it out.
Not sure if the transport company do this regular or not,if it is regular surprises me he didnt lift from 3 points.
A solid bar through the headstock with sling or slings each side and a another sling near the tailstock with a chain and shortener.