Inconsistency on a majority in Ulster

When the Home Rule Bill was passed by the parliament of the United Kingdom in 1914 the unionists of Ulster did not accept it '“ as a majority in Ulster did not want to leave the UK.
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Letter

A majority in the UK voted to leave the EU in the recent referendum but a majority in Northern Ireland voted to stay. But now the unionists want the overall result of the referendum to be honoured.

Why the apparently opposite stances?

Joseph Mackey, Westmeath