Types of Asbestos Diseases. Asbestosis is one type of asbestos disease that a person can develop. Asbestosis is a non-cancerous asbestos disease, which causes scar tissue to develop on the lower lobes of both lungs.This asbestos disease can impair lung elasticity and the lung's ability to sufficiently exchange gases.ypes of Asbestos Diseases. Asbestosis is one type of asbestos disease that a person can develop. Asbestosis is a non-cancerous asbestos disease, which causes scar tissue to develop on the lower lobes of both lungs.