I'm going to take a stab at this first, and then the legislative clerk can add to it.
My understanding is that committees are masters of their own destiny--not demise--and because of that, the committee can overrule and go in any direction.
What I will say is that as a party you'd probably appeal to the Speaker of the House. The chair's already been challenged, so we'll go to the Speaker now. It would be appealed to the Speaker, and the Speaker would have to make a ruling on that. So that's where it would go after this particular thing.
But to answer your point, Mr. Hiebert, mostly definitely, as committees we can go in any direction we want. To go beyond this, you'll be talking to the Speaker of the House.
I'll turn it back over to you.