|Image by WJ Pilsak from Wikipedia|
With pepsin triggered symptoms, treatment to resolve can become exceedingly frustrating given standard treatment with zantac, prilosec, and other "reflux" medications do not work as well. Furthermore, human pepsin remains stable at pH 7.4 and can be repetitively reactivated by acid from any source (ie, orange juice).
BUT... keep in mind that test tube results in this research may not necessarily translate to actual improvement in humans. However, drinking a small amount of alkaline water a few times a day (just enough to coat the throat) can't hurt.
Keep in mind that most tap and bottled waters (typically pH 6.7 to 7.4) would not be expected to affect pepsin stability.
I should also mention that drinking alkaline water will not do much to help acid reflux as the alkaline water will only briefly neutralize any acid and is ineffective for long-duration acid suppression. For those suffering from acid reflux, stick with the traditional reflux medications which work extremely well.
Potential benefits of pH 8.8 alkaline drinking water as an adjunct in the treatment of reflux disease. Ann Otol Rhinol Laryngol. 2012 Jul;121(7):431-4.