The provisional government take over, was dirty politics.

The dirty politics, of switching power from the Kamehameha lineage, to the Kalakaua lineage was dirty politics.

King Lunalilo was by bloodline, a Kamehameha.  Because he was not picked by Kamehameha 5, in the Order of Succession, he could not be called Kamehameha 6.

The Hawaiian Kingdom Constitutions were subsequently changed, from the absolute power of the King, to the power of the Legislature.

The political destruction of the Hawaiian Kingdom, took several decades of political changes, favoring the descendants of the missionaries.