The original picture is of a service to which BSSTG made the comment that an equipment grounding conductor need to be installed.
I commented that this would be in violation of 310.10(H) and Paul made a comment to the listing of the meter can and of the dangers of using metal pipe between the two.
Then you posted the Handbook picture making comments about metal pipes and the NFPA not caring about rebonding. How did you get confused?
Maybe it is because some think that a meter can is part of the service equipment. The meter be it an inline meter or a CT meter is nothing more than a cash register for the power company, a wide spot in the service conductors. It is not part of the service equipment.
We bond the equipment grounding conductors to the neutral at the same point where we have the ability to turn off all the current flow to the building.
We do not have the ability to turn off the power any other place other than at the service disconnect therefore this is where this bonding takes place.
Anything that is happening before the service disconnect is not grounding unless it is a connection to earth but instead it is bonding which is not concerned with an earth connection but instead is concerned with fault current. There is a BIG difference between the two.
As to the connection of the grounding electrode which has nothing to do with fault current, this connection can take place at the weather head or the grounding bar in the service equipment or any point in between, see 250.24.
Around here the #6 to the ground rods takes place in the meter can and the water pipe or CEE takes place in the service equipment. The neutral ties the two together. The grounding electrode system is installed for four reasons and fault current is not found in that section of the codes, see 250.4(A)(1).
Merry Christmas