Higher specific heat capacity does not necessarily indicate better heat conduction, as heat conduction is primarily influenced by thermal conductivity rather than heat capacity. For instance, water has a higher heat capacity than copper but is a poorer conductor of heat. While heat capacity relates to a material's ability to store heat, it does not directly affect heat conduction. In some cases, particularly with simple solids, there may be a relationship, but this is not universally applicable. Heat diffusivity, which combines heat conductivity and heat capacity, can provide insights into how materials respond to heat propagation.