How you draw your bow is determined by your dominant eye rather than your dominant hand. You want to be looking down the arrow with your strongest eye basically.
While most people do share hand dominance with their eye, its not that uncommon to be right handed but left eyed.
The way the characters handle the bow isn't wrong, just a little statistically unlikely.
Also if you find that you suck with anything that involves longer distance accuracy IRL like golf, archery, shooting, baseball pitching, even hockey, you might be cross dominant and using the incorrect hand. You can actually test your eye dominance at home: https://www.allaboutvision.com/resources/dominant-eye-test.htm