I strongly doubt it. Stalin was well aware of the importance of propaganda, and dozens of American journalists were sent into the Union after Pearl Harbour well aware of what conditions were like (though not of the cause behind many of them) and came away with startlingly positive impressions, for the most part, even before their reports were buffed up to give Uncle Joe an image as an intelligent, caring, powerful Eastern FDR. Further, I suspect that your own impressions of how the Soviets cared for their human resources in the military owes as much to the reality of the Eastern Front as distorted Russophobic caricatures. It was brutal and mean and ruthless, surely, but many things - such as the wholesale executions of enemy combatants rather than going through the process of allowing surrender and imprisonment - happened, if not to a similar degree, during the American efforts in the West.
Anyways, if this is going to happen, the best time for it to start would be in late 1941, before Pearl Harbour, with American volunteers being formed into a sort of latter-day Abraham Lincoln brigade, as was done in the Spanish Civil War (and as Franco himself did for Hitler on the Eastern Front). Stalin was very much desperate enough to accept and even plead for such assistance at that time, and once America becomes involved directly in the war it becomes an excellent seed from which a later expeditionary force could sprout. And now I can only fantasize about American commando units landing from Persia to fight in the Caucasus and leading an assault to break the siege of Leningrad in '42... This idea very much pleases me.