> None of that makes it less of a war against the native americans
No that's exactly what it makes it, as their conflicts subtract from those with newer arrivals. Different groups fighting each other, and then other different groups from Europe came, and made allegiances with specific local groups, then collaborated in their conflicts.
It's worth understanding that 'western colonization' wasn't a singular coherent force. There were different foreign groups with different interests - who were fighting with each other in North America.
Similarly there were 'Native Americans' (quotes as this is a colonial term) pursuing their own interests, even going to Europe. I'm not sure it's your perspective but there is a popular historic image of native americans being a defenceless people who foreigners came and wiped out which simply isn't correct, and ironically quite colonial.
There were plenty of regional wars among the native Americans. None of them resulted in widespread genocide and construction of concentration camps and reservations. In the initial Spanish 'not western colonization' nearly 8 million people died. By the 1900s there was nearly an 80% reduction in population and western populations were in possession of their resources.
Western nations came, they defeated their enemy, and they took their territory. What else do you call that?