In my recent book, golf for the other 80% I covered the different type of swings for cross dominant and same sided golfers. As discussed in the book golf is typically taught for players that are cross dominant even though it is estimated that over 80% of the population is not cross dominant. Right handed, right eye players should have a smaller shoulder turn and a different motion to start the downswing.
One of the easiest ways to work on this is to practice with sunglasses with one eye taped up. For right handed right eye players, tape up the left side of the lens and get ready to hit some balls.
Before you put the glasses on video your swing without the glasses from the target line, behind golf ball about 8′ back on a straight line from the ball to the target and from face on so you can see your entire swing. Make a few swings to warm up and then record a few from both angles.
The put on the glasses and hit a few balls. It may be difficult at first because you will loose most of your depth perception only using one eye. After hitting a few ball video from the target line and face on but don’t look at it yet. Hit balls for another 10-15 minutes and then video again.
What most people will notice is that their head motion changes, if you over rotate your head you will lose sight of the ball. So you stop doing this which also makes your shoulder rotation smaller and your backswing shorter. It will feel like a 3/4 quarter swing. You should then notice that your head rotates towards the target earlier in the downswing.
So give it a try and see how your swing changes, for the better along with your ball striking. This is a productive and fun exercise!
Jim Hartnett, PGA
https://www.amazon.com/Golf-other-80-answers-improve-ebook/dp/B06Y5KMT9W/ref=pd_zg_rss_nr_b_16381_7