My best guess is that you need World War One to butterfly away, at least in so far as it results in no loss of an entire generation, massive debt and the beginning of the unravelling of the colonial system. My thought would be that you get pressure to emigrate, especially if the post-industrial transition begins earlier, and if the USA cools on immigrants then you have more Europeans looking for a new "frontier" of opportunity. If that gets you more productive farming with surplus cash crops for export, a rising standard of living, hard currency to buy farm equipment, pesticides and fertilizers, then a transition to local industry to supply same, farms that support urbanization and industrialization, increased education, the population boom will level off, more mixing in cities with higher educated populace and less unstable economics should get you less conflict, lead to greater democracy and ultimately majority rule in mixed ethnic nations that are stable, productive and modernizing. That was perhaps the promise of colonization, whether you get all those stars to align versus a model of exploit the resources to support the home country is up to you.