I would, well - maybe I wouldn't, but I might - then again I might not - go for it, can't do any harm - on the other hand it would waste water...........
Seriously, by the time you've run water through the system to check for leaks you've probably done all the flushing that's necessary. To start the TDS may not be very low, but after it's run for an hour or so it should come down to a reasonable level. We changed one a month or so ago (300gpd) at first was showing 22ppm from 320 input but within 15 minutes was down to 3ppm