Would it be possible to add paxels to be compatible with the Chainsaw enchantment?

It should work as-is (the logic queries if the target item can perform the AXE_DIG tool action, which is the accepted way of querying an axe). If it does not, it may be because the item is NBT-sensitive on being a paxel, which could prevent the application. I can add a check that is nbt-sensitive instead, but it will still not work if the paxel is not reporting that it can perform the action.