All true.
Nevertheless the jhanalabhi who takes jhana as proximate cause is considered higher because they will have the additional benefits of skill in jhana .
Nina van gorkom translated part of a commentary:
the commentary to Anenjasappaaya sutta (MN 106) it is said:
Uparipannasa-Atthakatha 4.67
Samaapatti.m taava pada.t.thaana.m katvaa vipassana.m va.d.dhetvaa
When he has made the attainment of jhana the proximate cause of
insight and increased vipassana,
arahatta.m ga.nhanto bhikkhu naava.m vaa u.lumpaadiini vaa nissaaya
and he attains arahatship, the bhikkhu who is as it were depending
on a boat or a raft
mahogha.m taritvaa paara.m gacchanto viya na kilamati.
crosses the great flood and reaches the other side, is not tired.
The above is the path of the great ones of the past who attained
arahatship using mundane jhana as basis. These are the highest type
of arahant. Below is the path of the Sukkhavipassaka- the very
lowest type of arahant.
Sukkhavipassako pana paki.n.nakasa’nkhaare sammasitvaa arahattam
ganhanto
But the person with dry insight who has thoroughly known the
particular conditioned dhamma and attains arahatship,
baahubalena sota.m chinditvaa paara.m gacchanto viya kilamati.
after he has as it were cut the stream with much force and reaches
the other side, is tired.
Bhikkhu Bodhi gives some other notes from the commentary of this
sutta (M.106):
In the sutta Ananda asks the Buddha, “a bhikkhu is practising
thus: ‘If it were not it would be mine; it will not be and it will
not be mine. What exists, what has come to be, that I am
abandonding. Thus he attains equanimity. Venerable sir , does such a
one attain Nibbana?.”……The note by bodhi (1021)from Majjima
attahakatha, “> Anandas question is intended to elicit from the Buddha
an account of the practice of the dry-insight meditator
(sukkhavipassaka) who attains arahatship without depending on a
jhanic attainment.”