Just how Celtic are the Faroese and Icelanders? Irish monks

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Just how Celtic are the Faroese and Icelanders?

Irish monks were the original settlers of both the Faroe Islands and Iceland, before Norse-Gaels came to settle the Faroe Islands and the vikings settled Iceland with their Gaelic slave women and other Gaelic servants.

In regards to the Faroe Islands wikipedia states:

Recent DNA analyses have revealed that Y chromosomes, tracing male descent, are 87% Scandinavian.[6] The studies show that mitochondrial DNA, tracing female descent, is 84% Celtic.[7]

And in regards to Iceland:

Historical and DNA records indicate that around 60 to 80 percent of the settlers were of Norse origin (primarily from Western Norway) and the rest were of Celtic stock from Ireland and peripheral Scotland.[12][13]

How true are these statistics for modern day Icelanders+Faroese? When I was in Iceland even my tour guide had no idea that the Irish were ever in his country, let alone that he may be descended from them