'The invisible hand' is a metaphor coined in economics to explain the self-regulating behavior of the marketplace. The term has also been interpreted in a totally different manner such as the possibility of cooperation without coercion. Since I am no Merriam nor Webster, it is however not a prerogative of mine to pinpoint an exact definition for it.
The whole point of action is so that we may eventually get results. Sometimes we can get things done in a way that is conspicuous - possibly to garner support and goodwill. At other times, we can do things silently - devoid of spectacle and hullabaloos and most importantly, free from anyone's radar.
So which is the correct route to take? If you ask me, none of them. There is only a perfect situation for each street. Or there is a perfect personality for each path.
Basically, choose your own hands.