The Baird‐aromaticity of BN/CC cyclooctatetraene isosteres (azaboracyclooctatetraenes) in their lowest triplet states (T₁) has been explored through computations of various aromaticity indices that describe the different aspects of aromaticity (magnetic, electronic, energetic and geometric). While cyclooctatetraene (COT) is aromatic in its T₁ state following Baird's 4n rule, we now reveal that the degrees of Baird‐aromaticity of its BN/CC isosteres vary with aromaticity aspect considered. The thermodynamically most stable octagonal B₄N₄H₈ isomer, having an alternating B and N pattern (borazocine, B₄N₄COT‐A), is only weakly aromatic or nonaromatic in T₁ according to energetic and electronic indices, while magnetic descriptors suggest it to have about two thirds the Baird‐aromaticity of T₁ state COT (³COT). The extent of Baird‐aromaticity of intermediate BN/CC isosteres also varies markedly with aromaticity aspect considered. The strong aromaticity of ³B₄N₄COT‐A according to magnetic descriptors can be linked to the symmetries of the orbitals involved in the virtual transitions from occupied to unoccupied orbitals, which describe the response of a molecule in an external magnetic field. However, the magnetic aspect of T₁ state Baird‐aromaticity (response aromaticity) is not related to the electronic and energetic aspects (intrinsic aromaticity), findings that underline earlier observations on differences between the various aspects of the aromaticity phenomenon (or phenomena).