This is incorrect (although in the particular instance, perhaps irrelevant due to a lack of a CA).
Sorry, Peter, it is NOT incorrect. Your assertion is wrong. From the (same) PADI Instructor Manual 2012, on Page 42, several lines above your excerpted passage: '
Direct Supervision: 1. Do not leave student divers unattended, either at the surface or underwater.' You cannot leave an OW student, participating in OW dives, unattended in the water. I was specifically referring to a situation where you
do not have a CA, and you need to conduct skills such as a CESA or an Alternate Air Source Ascent. In fact, the sentence in my post, immediately preceding the one you quoted, was, '
Without a CA, there will still be logistical challenges.' Without a CA, you can't leave them 'unattended' on the surface, or on a platform underwater. Yes, if you have a CA, you have certain flexibility, as your noted exceptions allow. You can leave students on the surface with the CA, while you conduct underwater exercises, for example. I think most of us use a CA that way. That is not leaving the students 'unattended'. But, again, my point was made in the specific context of not having a CA, and was made in response to Mark Derail's questions about the absence of a DM.
In addition, the definition of "Direct Supervision" is to my mind, perhaps a little vague. It appears to be very clear that "direct supervision" does NOT mean being within arm's reach (or else how could you "directly supervise" 8 students at once!).
I don't think the definition is vague. But, I very much agree with you, that it does not mean within arm's reach, either. My point was - if you, as an instructor, elect to conduct an OW dive without a CA, you cannot leave unattended OW students underwater, or on the surface. That is clear and unambiguous. If I am working on the CESA, with a group of 6 students, without a CA, I cannot ascend to the surface with a student, leaving 5 unattended OW students on the platform 25 feet below, even though I have seen more than a few instructors do just that. I don't think 'direct supervision' can be construed to mean that.