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In the diagram below, all the definitions from the dictionaries are shown for each rainbow type.  For some rainbow types, their definitions are similar.  This is shown by the similar colored boxes.  From this it can be seen that there are 2 rainbow fragment types (red boxes), namely the ʻŌnohi and the Ala Muku.  There are 3 types of low lying rainbows (blue boxes), namely the Uakoko, the Lehopulu, and the Pūnohu.  There are 2 types of shaft rainbows (green boxes), namely the Uakoko and the Kāhili.  Furthermore,  the Uakoko can be seen as a shaft or low lying rainbow.  

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It is possible, some of the similarity in definitions might be due to differences in nomenclature between the islands.