vinasp wrote:"(36) Three persons: the learner, the non-learner, the one who is neither 1043 ..."
[Walshe, Long Discourses, 1987, DN 33.1.10 (36).]
This is often misunderstood. It is claimed that 'the one who is neither', is the
worldling. This is rather improbable since it is an ascending series, and is shown to
be wrong by the next passage.
do see the note 1043 which directs you to note 542 page 582.
do also note the fourfold and threefold logic formulation within the canon. this follows the same pattern.
"(42) Three kinds of wisdom: of the learner, of the non-learner, of the one who is
neither." [Walshe, DN 33.1.10 (42).]
The worldling is never said to have wisdom. It is clear that the person who is meant
here is the arahant who has attained the arahant fruit.
The fool who at least knows they are a fool to that extent is wise. dhammapada.
The first six noble persons are sekha, the seventh is the asekha, and the eighth is the
one who is neither.
so a stream enterer is one who is in training. a non-returner on the path is beyond training. and an arahant is neither training or beyond training? does that really make any sense? someone who has passed beyond is not training or beyond training, as that is how I understand it. if it was both training and beyond training I could understand your interpretation for one with fuel remaining being both, but not this I am afraid.
do note the Digha is considered to contain some later additions and considering a search for "nevasekkh" produced only results from the Abhidhamma, Netti, and Digha text you quote I find it likely to be a categorisation developed later. so any understanding derived from the Abhidhamma or other work would probably be correct, unless you can show otherwise.
Here is another important passage, which I believe supports my position.
"(6) Ten qualities of the non-learner (asekha): The non-learners right view, right
thought, right speech, right action, right livelihood, right effort, right mindfulness,
right concentration, right knowledge, right liberation." [Walshe, DN 33.3.3 (6).]
do note the "qualities" are things which are present not things necessarily developing although the content indicates they are developing in one and not in the other. also a way to describe the difference between the Arahant and one who is in the stream. remember the Stream winner is firmly upon the path they have right speech and so on yet are not rid on the underlying tendencies hinderances... so are not beyond training. An Arahant on the other hand is fully endowed with these eight qualities and more.
Iti kho, bhikkhave, aṭṭhaṅgasamannāgato
Mendicants, Thus the one in training is endowed with eight factors and the perfected one is endowed with ten factors.
aṭṭha = eight
dasa = ten
ṅga -> aṅga = 1. a constituent part; 2. a limb; 3. quality.
samannāgato -> samannāgata = endowed with; possessed of.
but as this is your evidence you would have to show an Arahant that does not possess these ten qualities, and a non-returner who does.