I'll just make one quick point on this.
It's my understanding—and I stand to be corrected, since I haven't done the research—that the only exception to all-party agreement on these changes is that there are a few one-offs over history on which the majority of the government of the day did prevail. I don't know how many of those there are, but any time—to the best of my knowledge, again—there was anything you might call a comprehensive or systemic review of the Standing Orders, that report, as other reports have told us, was always done with all-party support.
It's important to note that every one of those reviews I've seen talks directly to the future and asks us, in our time, to do the same thing they did, even though it's difficult and even though you don't always get the changes you want, and that for a healthy Parliament, the only way to proceed on major changes to Standing Orders is through all-party agreement.