Re: Connecting the GEC to the bonding conductor
The code doesn't want them if this current is considered objectionable (250.6). Just what is considered objectional can probably be easily debated, and I don't see it defined in the code, but it's related to parallel grounded paths.
Here's about the only reason I can think of which makes me consider this a bad practice. Lets say your current needs are such that you really require a 3/0 neutral. A parallel neutral sized #3 will most likely be insufficient to carry the full neutral load. If for some reason the 3/0 becomes loose or otherwise degrades, that parallel wire will make up the difference. This will mask the symptoms of a loose neutral. As the 3/0 further degrades or totally fails, that #3 in parallel has to do too much work and will probably overheat too. Eventually, this connection will also fail and you'll begin to get the symptoms of a loose neutral as this happens. End result, two failed wires, and probably two sets of overheated lugs.
I don't see how a parallel path helps anything and just takes twice as much work replacing things when you fix it. NEC 250.142 allows the neutral to ground service equipment, so why add another wire to "help" it?
Services done in metallic conduit have the same issues, but I don't know the ampacity of 2" RMC. To me, the ideal service would use PVC conduits between all of the service equipment and have only one neutral bonded in each piece of the service equipment. As a counter point though, services done in all metal conduit have been done forever, without much ill effect.
Finally, I'm not sure if your ground tap is correct. You need to have an unspliced GEC. Isn't that Blackburn tap a splice, or is there an unbroken wire running through it? Running a #3 from a rod to one panel, unbroken, would be fine. If you wish to tap off of this unbroken GEC to run another GEC to the second you are permitted to do this. But why bother. Did you bond/ground the gutter to the neutral (I hope so)? You could run the GEC from that bonding point if you have the a lug there to do it. It is OK to use busbars to splice GEC's, but is your Blackburn tap a busbar?