While dark energy stars have been studied both with and without ordinary matter, the effects on their structure remain insufficiently understood. This paper examines how the presence or absence of ordinary matter influences the structure of dark energy stars. By employing the Krori-Barua metric function, relevant equations are derived for both single-fluid and double- fluid models, and their respective properties are analyzed and compared. The findings indicate that the presence of ordinary matter does not affect the total mass, maximum compactness, surface redshift, and energy density, but it does influence radial pressure, transverse pressure and anisotropy. Additionally, it eliminates the need for a thin shell at the surface boundary, alters the behavior of static equilibrium forces, affects the gravitational behavior of dark energy, resolves violations of causality conditions, and enhances stability. Overall, the presence or absence of ordinary matter significantly influences the equation of state (EOS) parameters and plays a crucial role in determining the structural properties of dark energy stars. The generalizability of these conclusions to other models with different metric functions remains uncertain and will be the subject of future research.