If you are replacing your air conditioning system, make sure that the unit is the proper size for your needs and that all ducts are sealed at the joints. A unit that is too big will cycle on and off frequently, resulting in poor moisture removal, particularly in areas with high humidity. Also make sure that your new system is designed to manage condensation effectively.
The answer to your question is most likely "Yes," but not defiitely. It depends on where the dust is coming from. Now, if your house is more than say, 12 years old then you likely do have leaks in your ducts that can let in insulation particles and dust from your attic. If this is the case then cleaning of the ducts-PROPER CLEANING, which like the article sas doess include EVERYTHING that the conditioned air passes through, such as your indoor evaporator coil and blower housing assembly-is definitely a good first step to getting that dust under control! Of course I highly recommend that you also have your ducts SEALED as well, or else you will have to repeat the cleaning some time down the line. As a 3rd step, consider an electronic air filter. I always thought they were a scam, personally, so I never bothered selling them to my clients. Then one day my manager sent me to install one for a senior couple in a mobile home. The wife had bad allergies, and her eyes were constantly watering and puffy and red. Well, I did a quality check 60 days later and she could not stop praising that air filter! Keep in mind that in a mobile home, duct seals are not as complete as those in other homes due to access issues.
Is duct cleaning worth it? There is not a yes or no answer that suits everyone. On an Air Force base, the system was not air tight and there was leakage around the filters. The system got dirty. A professional company was called out. The Duct was big enough that a technician could go inside the metal duct and clean it. There was a new Air Handler installed and things were sealed up better. in this case it was worth it.
Duct cleaning has never been shown to actually prevent health problems. Neither do studies conclusively demonstrate that particle (e.g., dust) levels in homes increase because of dirty air ducts. This is because much of the dirt in air ducts adheres to duct surfaces and does not necessarily enter the living space. It is important to keep in mind that dirty air ducts are only one of many possible sources of particles that are present in homes. Pollutants that enter the home both from outdoors and indoor activities such as cooking, cleaning, smoking, or just moving around can cause greater exposure to contaminants than dirty air ducts. Moreover, there is no evidence that a light amount of household dust or other particulate matter in air ducts poses any risk to your health.