To accurately determine which cultural value the French bed primarily communicates, additional context about the design, style, and usage of the bed would be helpful. However, if we consider traditional French beds, such as those found in classic French decor, they often convey a sense of extravagance due to their ornate designs, luxurious materials, and the overall opulence commonly associated with French interior style.
Therefore, the most likely answer would be extravagance.