Silly question why is the brine draw setting so much higher than brine fill? Is the fill setting being used to measure the "charge" and the draw so high we are making sure we extract it all?
1. We are presuming that you have a 0.5 gpm BLFC (brine line flow control), as most 5600sxt softeners do, for some reason. That makes the brine fill fairly fast for a 1.5 cuft softener.
2. The brine draw is slower. It is not the same rate for different sizes of softeners. The configuring person selects an "injector" (a calibrated venturi pump) that pumps brine out of the tank at a particular rate. That brine is fed into the resin tank. Your ideal injector would be red, and would suck about 0.25 gpm out of the brine tank during brine draw. So at first look, it would take about twice as long to remove the brine. But there is more. For one thing, there is a little more brine (water +salt) volume to remove than the water, because of the added salt. That is a small factor, and could be ignored.
3. The bigger factor is that once the brine has been sucked out, the air check valve stops the flow from the brine tank. The water continues to flow through the injector through the resin media tank, even though the brine is used up. That serves to slowly rinse the salt out of the brine tank. We would like the amount of time that this rinse occurs to be about 3 times as much as it took to draw the brine. Put another way, we want the time that water is fed from the softener intake through the injector venturi to about 25% of the total time.
4. That total time that supply water is fed through the injector venturi is your "BD" (brine draw) time. However the brine has been removed after about 15 minutes. The rest of the time we can call the "slow rinse" time. The valve did not change flow patterns during the 60 minute BD time. The difference is that in the first 25% (approximately) there was brine to suck. In the remainder of the the hour, there wsa no brine left to suck.
5. Some optional things you could do are to see what color your injector is, and to time how long after the BD cycle starts, the brine has been exhausted. If the time is a whole lot different from 15 minutes, there could be some action you might choose.