I've seen people playing with the board oriented wrongly, not more than a couple of times admittedly. Is the reason for it being so common in films that they've flipped the shot a lot of the time?
As in, tip the king? I play chess professionally and I do it especially when it's a close game but I know I am losing and there is no point in playing (unimportant match in tournament, last game with no consequences etc).
I tip the king, shake my opponent's hand and walk away.
Most results that I found note that it probably does not affect the game that much. If you're planning to write down moves it may become confusing when someone with a correctly set up board tries to replay it.
If you set up the pieces the same way, you literally just play with different colors for the fields.
If you mirror your setup of pieces because you want the white queen to go to the white field, then you just play mirrored chess. Apply this transformation again to obtain the actual chess game.