We see objects without wings flying all the time. Bullets. Missiles. Etc. And the idea that a creature can simply move by willing itself to move, while not real, doesn't actually conflict with any basic intuitions of how things physically function.
Wings on backwards directly contradicts physical awareness. We know how animal wings work, at least at a very basic level. They flap, pushing air around in a way that generates lift and forward thrust. We know that they have the shape they have because the air needs to go backward if you want to fly forward.
I used the three interlocking gears example for a very good reason. While some people may not make the logical connection, most who spend even a moment reviewing it will realize "wait, if this gear turns left and that gear turns right...the third one doesn't have any direction it can turn!"
The wings thing is the same. The difference you are not seeing is that something which is not real but compatible with the physical structure we see, is acceptable; it can be ascribed to a greater system we don't understand. Something that is not real specifically because it is outright incompatible with the physical structure we see, is not acceptable; it looks like the artist (writer, director, etc.) simply misunderstood how that physical structure works.
A wing that points backward is actively inhibitory to flight. It isn't just irrelevant. It's actually harmful. A dragon flying by telekinesis would not want wings like this; at least if they pointed forward the wings could help the flight in some way. That's why this "shouldn't be able to fly". It's not that they can't have telekinetic or otherwise supernatural flight. It's that regular wings help, while these wings are actively harmful.
I don't think it would even be cool there. As preciously said, I do not get any "but how...?" feeling out of this. I get "...oh, so the artist doesn't understand wings."
More or less, before I can even begin to speculate, I am already concluding that it's simply incorrect. Not that it is impossible, but that its creator, the artist, has misunderstood the assignment.