My son really struggled on the right side too. He screamed when on that side since he couldn't latch on comfortably (his neck was always tilted to the one side because of how angled he was inside of me). I remember being in tears trying so hard to make it work on that side and trying every possible nursing position. I tried everything but refused to give up since the right side started to get painful and I couldn't seem to pump enough (it seems like very little came out of that side). I ended up nursing him in front of a running vacuum when he was on that side. That white noise calmed him enough to finally latch on. Still, the first 5 months on that side were hard for both of us to make work, but it did get easier over time. Ironically, that was his favorite side as he got older and that was the side where I started to produce more milk in the long run. I know of lots of mom who got really lopsided and stayed that way for life who just nursed on the one side (probably not every mom though so maybe you don't need to worry). I do understand your pain with not being able to get them to latch onto the one side. No lactation consultant could help me either and I called them constantly the first month since I was determined to make it work. Persistence does pay off though. Another trick I used on that side was to pinch that breast with my one hand so I could force the nipple to the roof of his mouth to help him latch on and that trick helped significantly.
Not sure if any of this helps. I just wanted to offer you some encouragement that the baby could nurse from that trouble side with A LOT of determination on your part and it can get better. Babies respond to different white noises to calm them though. My son liked the vacuum and hair dryer. I've heard of some like rock music and others like calming sounds.