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What's the difference? They were involved in what is colloquially known as WWII. They just refer to their specific part differently amongst themselves, but they certainly did have WWII.
It's widely known that Germany had chronic shortage of oil products through the war (which led to them developing coal-based synthetic fuels, etc), but few know that - for example - USSR supplied crude oil and various petroleum products to Germany during the Battle of Britain, which were processed into fuels and lubricants for Luftwaffe and Kriegsmarine, which helped them bomb London and sink allied ships in the Atlantic. "The Great Patriotic War" framing helps to hide all of this and uphold the national myth that Russians were merely a victims in the war and liberators of Europe, not chief collaborators with Hitler in the destruction of pre-war Europe.
Under Putin, this winners-liberators narrative has been dialed up to 11 and turned into a state-promoted MAGA-like "victory cult": https://en.wikipedia.org/wiki/Pobedobesie
Perhaps the best examples of this are "victory parades" with preschoolers, dressed up by their teachers: https://www.themoscowtimes.com/2019/05/10/russian-preschoole...