According to that WP article only the odd-order enclaves are exclaves. The second-order enclaves A4 and A5 aren't exclaves. I see the logic there, but it doesn

According to that WP article only the odd-order enclaves are exclaves. The second-order enclaves A4 and A5 aren't exclaves. I see the logic there, but it doesn't quite match the definition that you have quoted. Dictionaries all seem to include "separated from the main part" or something similar. That definition does fit the WP examples.