Oh that sounds somehow more annoying than just having to pay it yourself, seeing as you have to do the calculations yourself anyway.
To be fair it possible to be owed a refund or owe extra tax in Ireland too. If you changed jobs and didn’t inform Revenue they won’t apply tax credits until they know the full story for example. You never have to calculate how much you owe or are due though, at least not for an individual. You just tell them what your salary is, or if you’re claiming a credit.
* in the UK and Ireland. For historical reasons every book published in Ireland has to send a copy to the British library.
Similarly, the Trinity College Library in Dublin is entitled to receive a copy of every book published in the UK, on request.