Now you've got me worrying about this...James Hilton is one of my all time favourite authors.
I do have "A James Hilton Companion - A Guide to the Novels, Short Stories, Nonfiction Writings and Films" by John R Hammond. McFarland 2010.
He lists "Lives of Men" as 'a short story in the
Evening Standard Second Book of Strange Stories (London, Hutchinson, 1937). A thought provoking and vivid narrative of a pearl diver's experiences, with a "twist in the tail" as it's conclusion.'
The book itself looks self published (with a credit for the front cover image from Shutterstock) but I couldn't be sure.
ISBN 978-0-7864-3844-0
"John R Hammond is a former research fellow at Nottingham Trent University in England. He is the secretary of the
James Hilton Society and the president of the H.G. Wells Society."