And I would say, only if the transformer nameplate shows that as an acceptable connection.
I get what you all are getting about the nameplate configurations in regards to "2-wire (single voltage) secondary" and honestly, you may be correct.
The only thing that still bothers me about this is (1) the potential failure I've identified and (2) my Handbook notes, which I concede are not technically enforceable, that state that this "2-wire (single voltage) secondary," which subsequently allows for primary protection only, is supposed to be, and I quote, a "special case."
Based on my perusing of various products available, finding such a single coil secondary would in fact be a "special case." I know I'm rehashing an old argument and we're just going in circles, but I'm just stating my personal feelings about this.
If all multiple coil secondaries capable of being wired for a "2-wire (single voltage) secondary" are permissible, this would no longer be a "special case." That, coupled with the potential failure identified, has me leaning towards choosing to see this as NOT permissible for primary protection only...
...but I concede that you all may be correct and my arguments are more hypothetical and personal as opposed to explicitly NEC based.