An interesting conjecture. To progress forward from your theory is to establish any circumstantial evidence that Mons might've been picked up by an allied ship. Firstly we'd need to discover which ships were in the traget area and find any logs or other documentation held in the UK National Archives that describe any german airmen being recovered that night.
Another is to find living relatives. This is why i started the Somerton Man project on geni.com
The basis is that after the recovery of his remains by South Australian Police, there may become Dna material that they can use to compare to a DNA that they can ask relatives of potential Somerton Man persons to donate for matching purposes.
From memory, most members of the Reich forces had to submit genealogies to prove that they were not Jewish etc.
A man like Mons, should probably had a genealogy record in old Nazi records. This might be a good starting point to establish if any living relatives might exist.
If it find anything, Ill let you know.
I was looking at the real nurse Jesse Harkness. She seemed to be travelling in the same ship to London as a surgeon who worked in Khartoum, Sudan. Presumably, he was operating on war-wounded soldiers. It might be logical Somerton Man met the real nurse Jesse Harkness, perhaps in London. He remained working in the Sudan until about 1947.
The surgeon was Edward Walter Talwin Morris. Edward Walter Talwin Morris had a relative in Scotland who designed book covers. It could be the book went from the surgeon's relative in Scotland to the surgeon in Khartoum to the nurse Jesse Harkness in London to the Somerton Man.