Equipment such as shovels, axes, etc. that are mounted on the outside of the rig look like expedition and adventure. Nevertheless, I also always recommend to transport such things in the inside. Not only because of the possibility of theft, but it is also better for the tools if they are not exposed to the weather, UV radiation, etc. And as was written before, a theft mechanism will only be a hindrance if you need the tool yourself. Keeping them inside with easy access is what I do.
Another example: Often we see very fancy mounts for marston matts and recovery boards with some modern attachments, anti-theft etc. If you then really need the board, it will take a long time to get it out of the holder, small parts like the fastening screws can fall down and disappear into the sand or mud, etc. Well, recovery boards are a bit more difficult to transport inside the rig but there are simple solutions for keeping them outside also - keep it simple.