Disease spread more easily in hunter-gatherer societies true or false?

The answer is true, I believe.

Many diseases need a large population in order to survive. Hunter Gatherer populations do not offer this. Diseases will often strike, kill a few people and then disappear until the population comes into contact with an outsider again. In contrast, civilized society offers a large enough population so that a disease is able to constantly stay alive and be spread. Therefore, disease does not spread faster in agrarian societies, it just spreads more unchecked.