The correct answer to this open question is the following.
Although there are no options attached, we can say the following.
I think Jefferson wanted the world at large to understand America's plight for independence because it is one of the most important human natural rights and this must be valued and appreciated to be willing to fight for it, as was the case of the colonists when they decided to start the Revolutionary War of Independence against the English crown.
Thomas Jefferson, as long as the other four drafters of the Constitution (Benjamin Franklin, Robert Livingston, John Adams, and Roger Sherman), had high values and wanted the Declaration of Independence were a legacy for other nations too.
Indeed, the American Revolution and the Declaration of Independence influenced other revolutionary movements and independence wars such as the French Revolution or the Independence of México.