While I have no doubt that most Western colonial empires did not have the conquered's best interests at heart, I've read a theory (particularly about the Spaniards and Portugese in Latin America), is just Westerners are in aggregate were just better at running civilization, which is a horrible crime to utter in some circles, but I feel like the evolution of Western systems of governance, diplomacy, technology, culture made it superior to most civilizations in the marketplace of ideas.
One could see the mass appeal of a faraway king who promises three square meals, a decent lodging, a reasonable legal system, and preaches unconditional brotherly love, to every human being. And even if some of those things are only true some of the time, when taken in aggregate, this led to these people winning just often enough that the scales tipped in their favor over time.
And while most non-Western civilizations were certainly superior over certain time periods in some aspect, those who ended up not being conquered, either had constant contact with the West to know what to expect, or recognized their own shortcomings and rapidly endeavored to remedy them.
I don't think military conquest of a faraway land can be maintained without the consent of the populance, certainly not as a profitable endeavor, and that usually involves offering something to the populance they couldn't get otherwise.
There are plenty of examples of people subjugated for centuries who have kept their religion, customs and identity, likewise most of the jihadists who shout 'Death To America!' probably still like Star Wars.
Civilisations in the Americas were significantly less technologically developed than those in Eurasia. We focus our analysis on the Spanish and Portuguese, but the outcome would not have been much different had their place been taken by the Ottoman or the Chinese.
The Mayan and the Aztecs were roughly at a similar level of development as ancient Sumer or Babylon: good agricultural practices, irrigation, astronomy, elaborated culture, rich mythologies, very basic metallurgy, early state structures, etc.
Sumer and Babylon were great civilisations whose legacy can still be traced today. The same is true for the Maya and the Aztec. Had you visited any of them in their prime, you would have been awed by their skill and sophistication.
And yet, think of everything that happened in Eurasia between Hammurabi and Columbus, and you will get a sense of how wide the gap was when the two worlds met.
If the "marketplace of ideas" with regards to civilizations had been some sort of borderless utopia where people would just naturally emigrate to the best civilization and become members in equal standing there, you could argue like this.
Unfortunately, what actually happened was brutal invasion and dehumanization.
"We are higher developed than this other group, therefore we have the right to subjugate them, take all their resources, enslave them and even kill them" was essentially the classic justification of colonialism for a long time.
"Westerners are in aggregate were just better at running civilization"
If being good at running a civilisation means being good at making war and enslaving, then we objectivly were better, as we conquered and they lost.
But if civilized means being in higher spirit and have a more happy population, then the proof needs to be different.