The Greek key is about three thousand years old and it has outlasted every style that borrowed it, because it does something no curve can: it draws a hard, repeating line that the eye reads as a boundary. Classical builders used it exactly where one surface ended and another began.
Putting it on a baroque bed is not a contradiction - it is the reason the bed works. Baroque ornament is all movement, and movement without an edge becomes noise. The squared meander at the footboard corners and foot blocks says where the design stops, and every scroll inside it becomes more legible as a result.
Carving a meander is deceptively difficult. It is a single line turning at right angles, and the eye counts the intervals whether it means to or not, so any variation in the width of the band or the spacing of the turns shows up immediately. Our master Indian artisans set it out with a marked gauge and cut it in passes along the whole band, rather than completing one turn at a time - which is how the rhythm stays exact.