So they recommend wearing the watch on your right hand for certain headphones.

I'm right handed, so the watch was on the left.

Anecdotally, in case of my late Tomtom Spark I had to wear it on the right hand to ensure more stable signal reception.

Despite Garmin’s handy table recommending better performance for Backbeat Fit headphones with the watch on the right hand (bizarre) I did not switch my watch to my right hand because I am right handed.