A few years back one of our guys was doing a resi panel swap and due to the length of the old wire the (existing) water bond ended up on the factory installed equipment grounding bar but the ground rods and neutral were on the neutral bar, and the inspector rejected it.
I am pretty sure he let me jump a piece of bare #4 between the bars, as then they are joined but something other than the MBJ screw. They really prefer it to be all on the neutral bar, which is easy in new work.
They also don't like the bare from old 3-wire SE range and dryer cables landed on the equipment ground bar, even if the service becomes a sub panel.