One of your object is subdivided, the other is not, the Displacement node can only work on subdivided mesh. Also, you didn't share the images but herethere seems to be several problems here like nothing plugged into the Height input of a Bump node, or 2 Displacement nodes plugged into a Mix (not sure that it will work correctly, you need to plug the images into a Color Mix, then plug the Color Mix into the Displacement that is plugged into the Output).