Briefly explain the different interpretations of the same event described as the Revolutionary War and the War for Independence

What will be an ideal response?

An ideal response will:
1, Explain that the War for Independence depicts the notion that once freedom was gained from Britain, an independent and enlightened government of elites would maintain order much as before.
2, Differentiate this from a revolution in which the style and form of government would be very different afterward, incorporating true liberty, equality, and limited government.