The one I said was a demand was Lama nigara. It is a demand to have the right to bring the korban pesach. Again, Lama nigara doesn’t mean, ” Is it possible for us to bring the korban too somehow?” It means, “Why should we miss out?!” Which is a demand for the opportunity to bring the korban Pesach.
I think I finally understand what CS is talking about (even though I wouldn’t call it a demand) I wouldn’t call it a request either
I would call it a טענה which is a claim but I see where you’re coming from