Aleuts were not continuously(from times of Beringia) living on those islands. Aleuts are very closely linked to Inuits and the understanding about Inuits is that they started to expand 3000 years ago.
One of the initial drives to that 3000 year old expansion was because of new technologies(at that time), that helped to survive in North and that coincides with migration of N-Tat people(most of them nowadays are living in NE Europe).
Genetically Aleuts are more related to Asian Eskimos and Chukchi, than to American Eskimos and Kamchatkian natives, so their spread is "recent"(no more than 3000 years). Nowadays Aleuts by patrilinear line are more related to Europeans - which started from Russian colonisation and mixing with Russians.
The thing about migratory highways is that people who live there(on migration highway) are not be able to continuously be connected to that place, due to constant influx of new people that pushes them along, like waves in ocean. But nonetheless - all people are related to other people and have very deep and long and unique ancestry. And the unique is what matters - and story that comes with it. But in this case those early Beringia inhabitants are more closely linked to American natives in Brazil, than to Aleuts.
The thing about migratory highways is that people who live there(on migration highway) are not be able to continuously be connected to that place, due to constant influx of new people that pushes them along, like waves in ocean. But nonetheless - all people are related to other people and have very deep and long and unique ancestry. And the unique is what matters - and story that comes with it. But in this case those early Beringia inhabitants are more closely linked to American natives in Brazil, than to Aleuts.