See the factually correct film Apocalyto. You'll see what brutal, cruel, cannibalistic creatures the indians were. Life under europeans was still better than life as they lived it.
"Better lives" ? The problem they didn't actually lived under European rule. They have been destroyed. You can compare the European Brutallity to the native one, you'll just see how the Europeans were far worse.
I have. And they weren't.
1. Nazi Germany 38 million deaths, in World War Two, and the Holocaust,
2. Imperial Germany 34 million deaths,
by causing WW1, and the 1917 Flu, and the colonial depradations, in Africa.
3. Imperial China 28 million deathsby the 1900s famines, and slavery,
4. Imperial Russia 24 million deaths, by helping cause WW1, and numerous famines, and the Iranian famine of 1917
5. Communist USSR 21 million deaths, By famines, and oppressions
6. Imperial Austria 17.5 million deaths, by helping cause WW1
7. The demon Belgian king 15 million deaths, By inflicting the Congo empire democides
8. British Empire 12 million deaths By numerous famines, and wars in the early 20thC