I remember reading about that one of the confirmed minigames is mining (NOT SURE THOUGH) and you propably use pickaxe instead of axe or shovel
or then it's just like in Fallout NV that if you have shovel in your inventory you can open graves. That would also work with ores. Going off-topic.
So if you have a pickaxe why not use it as a weapon. It could use same animation as axe I think so it wouldn't be completely impossible to add.