If my statement wasn't true, there would be no way to distinguish admixture from indigenous in the first place.
The first chart shows a direct counterexample with "African American", "Mexican American" and "North America" groups more separated from each other than from other groups and yet many of them live in the same country. These are also not the only groups of people you'd find in North America, they're just the ones used in the study of Northwestern american indigenous groups that this is screenshotted from. This is, again, poor evidence for your claim.