I just wanted to add to that.
I think your question really goes to the heart of what the Westminster system is about, and the purpose of a cabinet. For those who are fans of the Westminster system anyway, the real magic of the system is the idea that you do have robust discussion amongst the entirety of the cabinet--amongst the different ministers, who all have different perspectives, different experiences, different backgrounds. It's all being brought to bear on an issue to arrive at the best decision possible. All members of the cabinet ultimately stand behind that decision.
In a sense, yes, there's a minister who is going to be the minister accountable to Parliament for the decision that has been taken, and that will be whoever that lead minister is, but ultimately all ministers of cabinet stand behind the decisions that are taken at that table, and basically they're all champions for whatever the decision is that has come out of cabinet.
That's the magic--to me anyway--of the Westminster system. It does provide for a very unified approach to bringing all perspectives in, having the robust debate, and then coming out of that with a decision that everyone supports and backs.