I asked this in a previous post but didn't get an answer. How did the discussion go from running perpendicular to parallel when the OP stated that his GEC was running perpendicular to the joists?
Well since it did, I will ask Mike why it's ok to attach to the bottom of a joists, either on running boards or directly, if going across (perpendicular), and it's not ok to attach to the joists if running with them (parallel)?
If your logic (not correct IMO) is because someone might use the bottom as a nailing surface, that doesn't hold water. If it's going across the joists it still is attached to the bottom and you couldn't nail to it that way either. As has been said, if someone wants to finish the basement they will put in a drop ceiling just because of things like this. Probably more duct work and plumbing there already than electrical.
On top of all this, what possible safety reason would there be if:
A nail hit the GEC
A screw hit the GEC
Someone used it as a clothes line
Or if it was pulled completely loose at both ends?
No sparks would fly, no breaker would trip, nothing would quit working.
It's just a GEC! More importantly in the OP's case, it's just a bonding jumper to the water pipes.