Could the Incident have caused Eloise to banished from the Island?

We know based on Ben's flashbacks and the time traveling, that Eloise leaves the island between 1977 and 1988.

Could she have been banished by Widmore for causing the island to be nearly destroyed, with added punishment for making sure that everything that happened, happened. She would then have known where Desmond would be in 1996, how to send the Oceanic 6 back to the island and how to raise Daniel using Daniel's notebook.

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