Not really, the Irish should have better troops considering there position. They start at war with Kingdom of England and with the Scots, and half of Ireland is owned by English Army so there in a bottle neck and its hard to win with them unless you have a massive army of very high tier troops and even then you get mobbed by the scots/brits.
Example: My army of 120 troops all above 3rd tier was defending a castle I had taken from the scots a while back. I was chilling and all of a sudden BOOM! about 6-8 Scottish Lords come out of no where and siege my castle. Numbering 756 to 120.. As you can tell I was not happy loosing my entire army, my castle/fief, my imprisonment and just to top it off 3000 denars.