Generally, based on past practice that committees have followed, when the committee is on the topic of committee business, for purposes of considering a motion, members can, if they want, in some respects--not wanting to use the wrong words--short-circuit a bit that notice principle that committees usually operate with in order to bring issues forward again, issues that are substantively different from what is on the actual notice paper.
It is a fairly significant principle, as written in Marleau and Montpetit, that as much due notice as possible be provided to members of Parliament before they consider another issue. You're right on that point. However, the rubric that we're currently under, of committee business, is a fairly wide one, and a broad one, that does allow members to bring up various issues if they so wish.