The YouTube version you shared wasn't available for me. But, having never heard of Loreena McKennitt before, I did a search on YouTube and found this version of hers which would play for me. I have to say that I actually found her voice just a bit too harsh for my taste.
https://www.youtube.com/watch?v=izYzuG0Vh2k&ab_channel=DeanoEssex
Personally, I really like the adaptation of the poem that The Waterboys did on their 1998 album Fisherman's Blues, with lead vocalist Mike Scott singing the chorus, and traditional Irish vocalist Tomás Mac Eoin speaking the verses. Perhaps I just feel that, having been written by a man, the poem should be spoken or sung by a male voice...
I actually live very close to all of the places referenced in that poem of W. B. Yeats (and many of his other poems).