I can tell you for personal experience that learning about my heritage has not only deepened my connection with my ancestors but also the understanding about my place in the world. I've always had an unexplainable fascination with Britain but didn't know why but it became more clear after taking the DNA test. I even like fog for God sakes.
That's so interesting, I've never thought about it that way before. You're 100% right, most Americans of European heritage have no clue about where they come from beyond a couple of generations nor are they even interested (except for a small few). Also, it's become fashionable/acceptable in the American education system to denounce European ancestry (they are the evil "colonizers" after all) and they tell people they should feel ashamed about it. Little do young people know, history is much more complex than the version of it they're being taught. The world entirely was different centuries ago and things that were once widely accepted and practiced by almost every culture on Earth are recognized as atrocious now that we've more evolved. I really value my European ancestry and it makes me proud. I feel more complete because of what I've learned.