It seems to be common knowledge that when you cut out the high glycemic carbs, the acid reflux goes immediately.
I experienced this and many of my friends that follow this way of eating have found this to be true also.

The BBC bulletin board has several entries from new low carbers saying just this, the other 2 symptoms that they report are lower blood pressure and greater energy as well as of course losing weight.

It is no surprise that conventional medical thinking goes contrary to this real life experience, but isn't that pretty much the whole low carb experience ???