I understand that view Cyc and its not one that I completely disagree with, however I do think the blanket ban is over the top. I think most (if not all) jockeys wouldn't remount a faller unless they were sure that the said horse was fine, and I do think that in sport you need to give responsibility to the participants and allow them to make the decisions be them right or wrong.
I am not saying that we should remount horses, rather what I am saying is that a blanket ban on it is unfair on those who unseat at the last fence and/or those who slip up etc and are fine to continue.
I think its the same as in the flat code where if you cross the finishing line in a false start you are not able to rerun. Its not flexible enough.