From my experience of being quite familiar with this path in Ireland (albeit not MBB):
Of the MBB trio, I believe only McKinsey is in Ireland, and their graduate intake is pretty small each year. Accenture and the Big 4 are the main players in town.
There's a perception that consulting is all about strategy and advising CEOs. This is what MBB specialise in. The reality is that the big firms in Ireland are primarily there to provide hands-on support to supplement in-house staff in roles a company doesn't want to hire permanent staff for. They're especially popular for IT - the likes of the banks don't want to hire and train a load of IT graduates each year, so they pay Accenture and co. to provide IT graduates instead.
As a result, after a few years these people are often both hands-on and have client facing experience. Everyone I know that has come through consulting has gone on next to high-paying roles in big-tech. Often in product management or sales, but depending on their experience they may be data scientists or software engineers too.
Graduate salaries vary a good bit across the companies. The accounting firms are trying to hire more technical graduates, but seem to struggle with the idea that they are now competing with tech salaries, when they're used to paying their accounting graduates very small money. Accenture seems to be the best paying of the consulting companies, in my opinion because they don't have to justify it to the accountants. A few years ago their graduate salaries were 40k, and they've likely gone up since.