I mean, they did, except they ended up failing time and time again, to a company most of the time.
Not really a sorta, we, and by extension other colonial powers are -the- reason some of these areas actually have developed industry in them whatsoever, remember, despite existing for a long time, a few meagre shipments of Portuguese and Ottoman guns were all that was needed to completely upset the West African, Ethiopian-ish region power structure back in the 1600's. Then there's the fact the Indian nation is little more than a continuation of the British Raj, if we hadn't come there wouldn't be an India to pollute YT sections with muh trillion-dollar thefts. As for overstayed their welcome... Eh, we were an empire, sort of by definition we overstayed our welcome as that is what empire's do when you don't fully cleanse an area and colonise it. Part of the main issue with the British Empire was how light-handed it was in relative terms. It made it clear you were their territories but it ultimately kept it theirs in a loose sense of ownership.