In my experience monitors work best when sitting on very heavy, very rigid stands which keeps them from moving about in response to the woofer moving. Anything that would decouple the monitors from the dresser would also essentially allow them to float above the dresser, which is the exact opposite of sitting on very heavy, very rigid stands.
Nothing is a definite in this hobby but you are probably better off having them coupled to the dresser. If it resonates perhaps you could glue strips of wood to the inside surfaces.
Nothing is a definite in this hobby but you are probably better off having them coupled to the dresser. If it resonates perhaps you could glue strips of wood to the inside surfaces.