Yes you can run one loop of #4, provided 250.66 is met, that is very common here as then installers only need carry on spool of 4 AWG bare stranded in the van simplicity rules, typically they try to run a long unbroken loop of that for everything but as others mentioned its allowed to be spliced after the first electrode. Also its not uncommon to see the bare copper scratched in the dirt about 6" or less between ground rods and I think inspectors used to or still do require a protective sleeve of PVC if that was 6 AWG but not it its 4 AWG so also another reason they use #4. #4 is so common here I have seen it used on a 100A service.Or would I be allowed, if I ran #4 from rod to rod and then had my #4 from the water(or ufer), to crimp them together (not in the middle of the rods but at one end or the other of rods, but before they enter the equipment) and then bring only one #4 to my ground bar at my main panel where my main bonding jumper is also located?