I agree that the two sentences in (3) are separate and independent allowances of the exception, and the bare wire reason makes sense up until you realize that the dryer ductwork or frame of the dryer being bonded to the grounded conductor can also inadvertently cause this grounded conductor to be grounded via water pipes or other paths such as the exhaust work touching other grounded items which could also cause the grounded and grounding to have a connection in a subpanel.
How many of these dryers have we seen people connect a ground wire to the frame of the dryer and run it to the water pipes serving the washer because the wife gets a small shock when starting the dryer standing barefoot on the concrete basement floor?
but I agree the wording in the above exception is what it is, and the referance to the service panel is only in the second sentence that has a comma and the word "or" that seperates it from the first sentence.
Those two and three letter words gets the best readers all the time.
, or the grounded
conductor is uninsulated and part of a Type SE service entrance
cable and the branch circuit originates at the
service equipment.