The type of address object useful for internal devices where the addressing structure assigns meaning to certain bits in the address, as illustrated in the diagram, would be an IP Wildcard Mask. IP Wildcard Masks allow for the specification of subnet ranges by indicating which bits in the address should be matched exactly (using 0) and which bits can vary (using 1). This is useful for internal devices when certain bits have designated meanings, as it allows for more flexible and manageable IP addressing within a network.