To have any kind of meaningful response to the OP, I think we’d have to establish when and how exactly we’re aborting the American atomic weapon program. As has been stated, the Americans worked closely with British and Canadian counterparts who would have surely carried their knowledge home. And Soviet espionage of the US program certainly advanced by an order of magnitude their own nuclear program.
So are we talking a “strangling in the cradle” scenario (say, Einstein does not send his famous letter to FDR proposing a US atomic weapons research project?) Or does the program die later – Fermi can’t get a sustainable chain reaction in December of 1942, or the Trinity test fails in July of 1945?
The messages that went back and forth between “Swallow Blue” (Einar Skinnarland, one of the Norwegian saboteurs) and the London-based Special Operations Executive (SOE), prior to the sinking of the Hydro, are available online at the “slide show” link on this PBS NOVA page.
The Germans were planning on using the heavy water as a moderator in a “natural uranium” (U-238) reactor to produce fissionable plutonium (Pu-239). If they had succeeded, they would have ended up with a device similar to the “gadget” tested at the Trinity site and the Fat Man dropped on Nagasaki.
Returning to the OP, the Wikipedia article on the UK’s pre-1943 Bomb research project, “Tube Alloys”, suggests that the UK and Canada had actually done a fair amount of the necessary work prior to being folded into the Manhattan Project, and that the passage of the US McMahon Act in 1946 was something of a slap in the face to the UK and Canada, which had provided a great deal of brainpower to the Project (while building upon work originally done in France and Germany prior to WWII).
To tighten up Antonius’s point, such an argument doesn’t work either as an explanation of the thinking at the time or as a justification in hindsight.
Heavy water can be used as a perfectly good moderator and was, in fact, being seriously considered as such in the UK at almost exactly the time of the attacks on Vemork. In particular, in about April 1943 it was being discussed at the level of Churchill and Lord Cherwell whether they should commit to building a big heavy water plant and pile in the UK. This was the natural progression from the large amount of research on its production carried out in the previous couple of years, mainly at ICI. As events unfolded, this became unnecessary as originally envisaged because of the resumption of Anglo-American cooperation and all this work was transfered to Canada. So it’s not as if the British thought that heavy water was a deadend at the time.
Additionally, the attacks on the Norwegian heavy water supply horrified the Americans, who were worried that such interest would betray to the Germans that the Allies had nuclear programmes of their own. They explicitly didn’t want this revealed, so doing so as part of a deception was out of the question.
Nor was it necessary, in hindsight, to commit the Germans to relying on heavy water by this stage. That had become the moderator of choice on all the German projects by the end of 1941. (The reasons for this decision are one of the more fiercely argued aspects of the German case, but there’s no argument over the chronology.)
That said, so much dubious stuff has been written around the subject - A Man Called Intrepid being the most obvious - it really doesn’t surprise me that the suggestion has been made.
Ah! The book’s actually been on my vague to-read list for a while. You’ve just nudged it up a notch or two.