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My arguments have now lead me to reconsider the order in the K text. There could be 4 glyphs in a group counted from Rei:

Ka3-15 Ka3-16 Ka3-17 Ka3-18 (*125)
Heap of Fuel (122.1) Tegmine (123.3) Al Tarf (124.3) Bright Fire (125.4)
'8h (121.7) '22/7 = π 'July 23 '24
Heka 13 Alhena 1 2 3

Ka3-20 will then be of central importance:

Ka3-19 (60) Ka3-20 Ka3-21
Avior (126.4)  ο Ursa Majoris (127.4) θ Cancri (128.2)
'July 25 '26 '27 (208)
Alhena 4 5 6 (72)

Notably manu rere in Ka4-1 is glyph number 63 (equal to what has to be added to the glyph numbers in G in order to reach the right ascension day), whereas manu rere in Ga3-6 is glyph number 66 (equal to what has to be added to the glyph numbers in K in order to reach the right ascension day). 63 + 66 = 66 + 63. So what?

Ka4-1 (63) Ka4-2 (*130) Ka4-3
η Cancri (128.5) π¹ Ursa Majoris, δ Hydrae (129.6), Al Minhar al Shujā, Museida (129.9), Beehive (130.4) Ascellus Borealis (130.9), η Hydrae (131.0), Ascellus Australis (131.4)
'July 28 '29 (210) '30
Alhena 7 (73) 8 9
Ga3-6 (66) Ga3-7 (*130) Ga3-8 Ga3-9
η Cancri (128.5 π¹ Ursa Majoris, δ Hydrae (129.6), Al Minhar al Shujā, Museida (129.9), Beehive (130.4) Ascellus Borealis (130.9), η Hydrae (131.0), Ascellus Australis (131.4)  ε Hydrae (131.9), ι Cancri (132.0), ρ Hydrae (132.4)
'July 28 '29 (210) '30 '31
Alhena 7 (73) 8 9 10

There is a possibility the difference 66 - 63 = 3 days corresponds to the difference between the lengths of summer and winter, 184 - 181 = 3:

May 24 144 0
June 1 152 8
July 1 182 38
August 1 213 69
September 1 244 100
Oktober 1 274 130
November 1 305 161
November 24 328 184
Ga7-15 (185) Ga7-16 Ga7-17 (*250) Ga7-18 Ga7-19
ψ Ophiuchi (247.7), ρ Ophiuchi (248.1), Kajam (248.3) χ Ophiuchi (248.5), She Low (248.7), Antares (249.1) Marfik, φ Ophiuchi (249.5), ω Ophiuchi (249.8), σ Herculis (250.3) τ Scorpii (250.7), Han (251.0) ζ Herculis (252.1)
'November 24 '25 (329) '26 '27 '28
Syrma 9 (192) 10 11 12 13

This idea perhaps explains why 'May 24 apparently was chosen as the date for the beginning of the G text:

Gb8-28 Gb8-29 Gb8-30 (472) Gb8-30 (1)
  Beid (62.2) Hyadum I (63.4) Hyadum II (64.2)
'4h (60.9) 'May 22 '23 '24 (144)
Sheratan 5 6 7 8

The front side of G would describe summer north of the equator as defined by the opposite position of Antares at the beginning of summer on Easter Island.

And the K text could then, presumably, correspond to the time from 'November 25 up to and including 'May 23. If this is correct, then the dates for the glyphs in K ought to be changed with 181 positions ahead, e.g.:

Yed Prior (245.5) Yed Posterior, Rukbalgethi Shemali (246.6). ο Scorpii (246.8), σ Scorpii (247.0), Hejian (247.2) ψ Ophiuchi (247.7), ρ Ophiuchi (248.1), Kajam (248.3) χ Ophiuchi (248.5), She Low (248.7), Antares (249.1)
'November 22 '23 '24 '25 (329)
Ka1-1 Ka1-2 Ka1-3 Ka1-4
  Ain, θ¹ Tauri, θ² Tauri (65.7)   Aldebaran (68.2)
'May 25 '26 '27 '28 (148)

Instead of a 'door of entrance' defined by Hyadum I and Hyadum II the K text could have its 'entrance door' defined by Yed Prior and Yed Posterior.

I think a rational explanation for the differences between the pair of texts could be the different perspectives of where the 'year' is beginning. Both texts seem to define the beginning from the red pair Antares and Aldebaran, but K could have Antares at its beginning in contrast to G with Aldebaran rising heliacally at its beginning.

Perhaps the G tablet was specially designed to suit the people far north from Hiva:

... The officers of the Chilean corvette O'Higgins received this tablet and the Large Santiago Tablet from Father Roussel on Rapa Nui in 1870 ...

Hiva

Name of the country from where, according to tradition, came the Polynesian immigration of Hotu Matu'a; nowadays, this name designates any continent or foreign country: tagata Hiva, foreigner, person from the mainland. Vanaga.

Strange, alien, foreign; a stranger; kuhane hiva, Holy Ghost; hakahiva: mata hakahiva, to look back (? hakahira). Mq., Mgv.: hiva, iva, a stranger, a person from another district or country. Pau.: pure-hiva, a butterfly. Churchill.

H.: 1. Entirely black, as of pigs offered to the gods, a desirable blackness contrasting with uli and 'ele'ele, which have pejorative connotations. 2. Choice.  3. A term qualifying coconuts and kava. Polo hiwa, dark, glistening black, as clouds or tapa. Ua hala i ke ao polohiwa a Kāne, passed to the dark clouds of Kāne (death). Hiwa hiwa, precious, beloved, esteemed, petted, darling, indulged; favorite. Ka Mesia, ka hiwahiwa a ke Akua, the Messiah, the chosen of God. Ho'o hiwa hiwa to honor, adorn, decorate; to display, as the flag; to treat as a favorite; festive. He mea ho'ohiwahiwa i ke akua, a thing to honor the gods. 'O ka mea ho'ohiwahiwa i kāna kauā mai kona wā 'u'uku mai, he who delicately brings up his servant from his childhood. Wehewehe.