I do not have a particular way of what side to walk a dog. The dog and I are completely comfortable on either right or left side. In that since a both righty and lefty when it comes to handling dogs on leashes. I don't see the big deal of people being particular holding leashes on a specific side. For example, besides if a dog coming my way and anticipate the dog and the oncoming dog coming my way. First, put the dog on the opposite side and cross to the other side of path, street, crosswalk, etc. Another example, on bike path or trail dog is on the opposite of potential danger. That's when I have an advantages to help him/her avoid such as oncoming bikes, dogs, cars, people, etc. Do you have a particular way or perference holding leashes?
Riley the dope doodle
Dante GS the hiker pal