Okay, right, you are permitted to do that if you want to use the building steel as an electrode (which allows you to use the building steel to ground other systems throughout the building). In that case you can run the grounding electrode conductor to the building steel instead of directly to the UFER. I still do not think that you have to do both. Your picture still has redundant paths.
That is:
1) Run a GEC to the UFER for grounding, and an above-ground bonding jumper to the building steel to comply with bonding required by 250.104 (C).
or
2) Run a GEC to the building steel, and connect the hold down bolts to the UFER as you cited above.
BTW if the building is supplied by a metal water pipe then that is supposed to be used as well. Picture implies that the building doesn't have one or that whoever drew the picture is unaware of that requirement. Other than that, the picture looks to me like 'do everything that an inspector ever asked anyone to do, even if code doesn't actually require all of them.'