Quickstops completed downwind
Maybe I am off track here but I always understood a downwind quick stop to be of the flare and turn/flare or turn and flare variety. Yes you enter the manouvre downwind but terminate into wind. It reads to me that you are talking about doing a complete quickstop from entry to completion downwind.
If this is the case then I am all ears but would not do one myself, then again as I said I may be well of the beaten track.
I shall wait to be enlightened.