I can reassure you that my experience confirms what the other posters have said. As I posted elsewhere, AIB gave me an appointment to visit a branch to open my new accounts. I turned up on the day and the AIB rep opened the current and deposit accounts without leaving my presence and the accounts were open and available online instantly. Note that I did not require an overdraft nor was this mentioned and there was no mention of CCR or any other credit checking at any point.
Totally different the following day when I completed the Credit Card application over the phone. Plenty of mention of credit checking there.