I had a hiatal hernia for at least 40 years, which most of the time never caused me any grief. When I was having lots of GERD problems after my cancer treatments I decided to get a fundoplication to stop the stomach acid from splashing up into my esophagus all the time. While they were in there for that, they repaired the hernia at the same time. The laparoscopic surgery is a no big deal event. If this is really bothering you, I would deal with it in that manner. I still take some meds for reflux issues, and occasionally I go on proton pump inhibitors like Prilosec. Most of the time I can deal with it with other anti acids.
It used to be thought that the acid effects on the esophageal lining which eventually convert it to Barrett's, was a for sure precursor to developing an adenoma in the esophagus. Recent science has questioned that inevitability. As to oral cancers there is no connection in the literature. If you get chronic sore throats, (sometimes an oral cancer symptom), in your case it will most likely be laryngeal inflammation from the acid gases.