All of you with silent acid reflux or any type of acid reflux - you have my sympathy. It is an absolutely hellish condition, I have had it for 9 years, regarding the worry of the Omeprazole I am just grateful to have it and I use this along with Gaviscon Advance, another Godsend.
The diet part is trial and error, if I go through a bad spell I write down what I eat for a few days and look back and try and work out the trigger. I don't drink much alcohol now as that is an issue as well. I avoid spicy food and CHILLI - which for me is the worst offender and they seem to want chilli in just about everything nowadays. I was told by my Gastroenterologist that Acid Reflux is a strange condition, what affects one person foodwise, does not affect another. I have found this to be accurate. They say avoid fizzy drinks, yet I found the original Coca-Cola to be helpful to me, especially for settling down my IBS. Isn't that odd?
I also have IBS, Diverticular Disease and Asthma. For some of you who may not be aware Acid Reflux and Asthma are quite closely related. Though I was diagnosed with adult-onset asthma years after my acid reflux began. I took acid reflux and all the other Gastro-Intestinal/Bowel related issues after being ill with a virus. The doctors knew I had been ill with something and actually found something in a urine sample, but had no clue as to what it was.
I have a theory that Gastro/Bowel conditions have a hereditary factor also. In my family there were 3 with acid -reflux, 1 Crohn's, 1 Ulcerative Colitis and me with my issues.
Regarding the 'cancer' issue, I know people who are in their 80s who take Omeprazole. I also have a friend with 'Barratt's Oesophagus' which is meant to increase the chances of Oesophageal cancer. He takes his Omeprazole and (touch wood) he is still here and keeps well, though, like myself reduced his alcohol intake and watches his diet. I don't think there is any point to worrying about cancer, just follow whatever regime helps and hope for the best. I'm happy if I do not have the awful burning.
Back to the question in hand, yes, you need to tell your doctor about any homeopathic remedies you are taking. They have to diagnose the whole person. I suffer acute anxiety and receive no treatment from my GP, when it is unbearable I take a natural calming pill (cannot remember the name). My GP wasn't too happy about it but I told her that when I am really bad I need it, and fortunately it is not often I need them. However, incase they react with something or as someone else said remain within your system you need to tell your GP. They may not be happy but it then gives the opportunity to ask 'what is the alternative'?