Irish people and their descendants in Britain carry a history of being on the receiving end of British colonial policy, not on the delivering end of it. The great wave of Irish immigration to Britain in the nineteenth and twentieth centuries brought people fleeing poverty, famine, and discrimination, not people inheriting the gains of empire.
Including Irish-heritage British people in a reparations levy on the grounds that they are white is a textbook example of the problem with racial rather than historical liability. Race does not determine historical responsibility. History does. And the history of the Irish in relation to Britain does not make them liable for Caribbean slavery.