No because that would not be a proper Catholic burial. That would be precisely what the left wing journotrash would like it to be: nuns for some inexplicable reason disposing of dead children like abortion doctors are known to do. That is the entire point of it: to discredit Catholic doctrines of human dignity in life and in death.
Not every person or every organization upholds church teachings, annalex. It may be that Irish Catholics are not seeking to discredit church doctrine. It may be that doctrine was not followed. Open yourself to that possibility.