I guess nobody but Polish nationalist believe that old canard. If anything, the 1944 Warsaw uprising was used, and utlimately betrayed, by no one else but the Polish nationalist government in exile in London. As it became clear that Poland would be liberated by the Red Army rather than the Western allies, as the nationalists had hoped for, the London-based government intended to start an uprising to gain power and legitimacy vis a vis the Soviet backed Lublin government -- even though they were specifically informed by the Americans and the British that there would be no Western aid for that venture.
The nationalist London-based Polish government witheld that information from the resistance commanders in Poland who prepared for the uprising on the false assumption that Western aid was coming as soon as the fighting in warsaw starts. Morerover, the resistance commanders did not receive intelligence reports from London about the capacity (or rather lack of it) of the Red Army to continue its offensive across the Vistula river (necessary for the liberation of Warsaw). Consequently they relied on inacuare information provided by their own information networks that grossly exaggerated the Soviet capacity to continue the offensive.
So at the end of the day the uprising was prepared with the assumption that the Allies would aid it, whereas no such promises were made by either side.
On the contrary, the Polish government in-exile knew that no aid was coming, and deliberately witheld that information from the resistance forces.
Wojtek