Proving a point...
Why?
Part ONE came from the perspective of analyzing this question in consideration of one's motivations - discerning whether we're genuine with intentions of service, or merely fuelling our own ego in attempts to assert our own righteousness.
Herein, we explore the flip side...

First, the distinction:
Have we removed ourselves from the equation - detaching from the matter, with no personal investment, coming from a place of service?
If so... why prove a point?

To educate.
To upgrade.
To eliminate misunderstanding through clarification.
To instill consciousness where only confusion previously existed.
To transform ignorance through the introduction of perspective essential for a complete awareness.

Perhaps...
To set boundaries.
To correct another where they've been mistaken, for both their benefit and those around them.
To contribute to others' evolutionary advancement through drawing attention to details which broaden understanding through a more-holistic perspective enabling better-informed thinking, decisions, and actions.
To establish a more complete and accurate map of the territory from which we are able to function more effectively and harmoniously within our environments and with those we share the journey with.

Perhaps...
To set an example. Not that we are right. But of what right is.
To teach.
To guide.
To mentor.
To pay forward lessons, such that they may shorten others' learning curves.

Proving a point.
From ego. Or from service.
From self-righteousness. Or from selflessness.
The distinction: intention.
The difference in outcome: worlds.
Still have a point to prove...? :-)