"Is not", "doesn't", and "does" are not adequate for demonstrating an organization's apoliticalness, it simply demonstrates that they content with the status quo. The status quo is a political position, and depending on what about it you don't want to see change, can be a rather contentious one.
To clarify: endorsing the status quo is a political position. Not saying something is not identical to that. It of course can have probabilistic implications. In other words, silence doesn’t necessarily mean an entity (a person or org) is content with the status quo. It can be a strategic decision.
"If you are neutral in situations of injustice, you have chosen the side of the oppressor. If an elephant has its foot on the tail of a mouse, and you say that you are neutral, the mouse will not appreciate your neutrality."
“In the end, we will remember not the words of our enemies, but the silence of our friends." - Martin Luther King Jr.
"To sin by silence when they should protest makes cowards of men." - Abraham Lincoln
"There may be times when we are powerless to prevent injustice, but there must never be a time when we fail to protest." - Elie Wiesel
“Each time a man stands up for an ideal, or acts to improve the lot of others, or strikes out against injustice, he sends forth a tiny ripple of hope, and crossing each other from a million different centers of energy and daring, those ripples build a current which can sweep down the mightiest walls of oppression and resistance." - Robert F. Kennedy
Generally: For almost every piece of advice there are useful contrasts. More than useful, actually: necessary. Ideas that seem reasonable (even wise) in isolation often don’t ‘survive contact’ with broader thinking. In other words, an isolated idea may not prove applicable for a particular context.
Here are more quotes that can help weigh your choice to speak:
"Tact is the art of making a point without making an enemy." - Howard W. Newton (not Isaac Newton)
“What you do speaks so loudly that I cannot hear what you say." - Ralph Waldo Emerson
Specifically: The early and outspoken critics sometimes get their heads cut off. Sometimes this galvanizes change. Sometimes this just helps the decapitator find his enemies more efficiently. Sometimes it is wiser — and more ethical — to quietly (even secretly) organize and act when you have a critical mass.
“The nail that sticks out gets hammered down." - Japanese Proverb
“A single arrow is easily broken, but not ten in a bundle." - Japanese Proverb
To be fair, it was apropos, so I don’t think it was chosen randomly. :} The quote illustrates a relevant and related point of view. I probably agree with you in this sense: I would prefer the author take the time to say more and try to persuade.