No I believe it's the opposite:
That diagram represents if you're standing at the front of the car looking back at the engine - the left side of the diagram is the passenger side of a US car and is bank 1 with cylinders 1 2 and 3. The right side of the engine would be bank 2 with cylinders 4 5 and 6.
Another way to look at it - If you're in the cabin of the car and remove the interior access panel behind the seats and look into the engine bay you'd be able to see the belt system as shown on the "front" of that engine diagram so bank 1 is behind the passenger seat in a US car and bank 2 is behind the driver's seat in a US car
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