This is the general practice for the matches I have attended at five different ranges. After the match we helped breakdown the last stage we shot. The guys that reload then picked up the brass on that stage. The guys that don't reload get to the restaurant or home sooner. The revolver guys can pickup their moonclips in a similar fashion to the semiautomatic guys picking up their mags. This system seems to work well and keeps the match flowing smoothly.
If it is raining or "Africa hot" then I might skip picking up my brass and head for the restaurant.
+1