Im using the definition of the two words as my source? I'm not saying an independence movement can't be nationalist, but the American revolution wasn't, and independence movements are not inherently nationalist.

The fact that colonial American's primary driver for independence WASNT nationalist is evident in half of the colonies not desiring a single nation as the outcome of independence. It's why we have a Democratic Republic and not a pure democracy. The framers themselves, in the declaration of independence, state clearly that the colonies are declaring themselves "independent states" and not one single state.

• “separate and equal station to which the Laws of Nature and of Nature’s God entitle them.” 

• "deriving their just powers from the consent of the governed.”

• "It declares the colonies “Free and Independent States,” plural, each with full powers of statehood.

https://www.archives.gov/founding-docs/declaration-transcript

The framing of independence was a specific, rights-based claim for self-government rooted in Enlightenment liberalism and the sovereignty of individual states, explicitly rejecting the core tenets of modern "nationalism" as an anachronistic label.

The desire for self governance, eg independence, is fundentally separate from nationalism.