It's also worth pointing out that there are multiple types of neurons, so I suppose that you could argue that some of them are more "software-like" while others

It's also worth pointing out that there are multiple types of neurons, so I suppose that you could argue that some of them are more "software-like" while others are more "hardware-like", as well as glial cells that essentially serve as dumb cabling (huge oversimplification). Purkinje cells in the cerebellum, for instance, are known to be more involved in muscle memory, although they still exhibit properties that are both hardware/software-like.