I have found that the resentment level of a song is almost entirely based on time passed. Ireland is a country whose history has been a continuing struggle against British rule. To be a singer of Irish songs, and to omit politics, is like describing Martin Luther King by his facial hair. Besides, your list lacks the really offensive songs like "One Sunday Morning, While On My Way To Mass" or "Take It Down From The Mast, Irish Traitor", a song that offends almost everyone.
A song is just a song. Catholic singers have been doing "The Old Orange Flute" for years because it is funny and it is a swell song.
Obviously, if you are performing in England, you will be considerate of your audience, unless you want to make a political statement. Your
visiting Brits will have to understand that "You do the crime, you hear the rhyme" It is tough to have to deal with criticism of one's homeland but tougher when it comes from a third party. Here, at home, you know that Americans are a lot less offended by by protests from an enemy than protests from Europe, our traditional allies.
So, sing 'em if you've got 'em. You can, always, claim "reasearch".