The British India Company colonisation of India was
institutional colonisation.
The company remained for many generations but most (not all) individual British people stationed themselves in India and retired 'home' to England where to whence the money flowed.
Many European countries regarded their "colonies" as places to exploit for resources, places to be travelled to for work for many years, places they didn't regard as 'home'.
There's more to "colonisation" than just simple migration.
Even in Australia the early colonisation was by settler families that were part of larger stay at home families, the black sheep, wayward sons, and fortune seeking adventurers .. in Australia convicts and servant families remained, ultimately a good proportion of the underwritten (from home) settlers stayed .. but initially at least many heads of these families "returned home" to England.
In a similar manner modern USofA has many institutional "colonies" around the globe, bases they've established and never left, these rarely have permanently settled multi generational families.