Your question is good and thought full. Facts are more or less correct. H pylori eradication or TREATMENT is not given to individuals who are not symptomatic because firstly they have not been diagnosed in any test because of lack of Symptoms, also goal of giving h pylori treatment to symptomatic individuals is to relieve his Gastritis because Gastritis does not heal if h PYLORI is present. Those who have h pylori, but not Gastritis are lucky. But if any of them develops Gastritis, they will also need treatment of it.