This is what I do also. I had a guy correct me once when I got on the High side of the bike. I told him the proper method of getting on a bike put you on the riders seat. How you get there is up to you.
Depends how the parking situation is but, I generally use the left side to get on. As for getting off, I prefer to get off on the low side while pushing forward on the kick stand, oops, 'jiffy stand'.
I have seen the videos of the proper mount and dismount and it does show the right side.
I guess, after seeing this post, the right side wins.
OP, as others have said, it is really up to you and your comfort zone.