The answer to 'ductwork vs' is that ductwork and ductless HVAC systems each have their own advantages and disadvantages. Ductwork is a traditional forced-air system that distributes heated or cooled air through a network of ducts throughout a home. Ductless systems, also called mini-splits, use individual air handling units in each room connected to an outdoor compressor, eliminating the need for extensive ductwork.
Ductwork is generally more affordable to install, especially in new construction. It can also be more energy-efficient if the ducts are properly sealed and insulated. However, ductwork can be more complex to install and maintain, and may lose some efficiency through air leaks. Ductless systems are more flexible and can be added to existing homes without major renovations, but the initial installation costs are typically higher.