Really? I thought that the QR just topped off the tanks of the ship it was on. For Example:
3 ships in a fleet, one with a QR.
A = can hold 4000 supplies and has the QR.
B = 3000 supplies.
C = 3000 supplies.
Therefore, the fleet total is 10000 supplies.
Combat drains the fleet down to, say, 3000 supplies combined (1000 per ship). Ship A's QR kicks in, and now:
A = 4000 supplies
B = 1000 supplies
C = 1000 supplies
Which, gives a fleet total of 7000 supplies. Spread evenly over the fleet, the next turn (assuming no new supply usage), each ship will have 2333 supplies. Then the QR would kick in, and now:
A = 4000 supplies
B = 2333 supplies
C = 2333 supplies
for a fleet total of 8666 supplies... etc. etc. etc.
Isn't that how it works???

If so, the more Supply Storage is on the QR ship, the better.