It is curious. I had thought Lamoni's father's name was Laman, but I apparently never came across his name in my previous reading. I will have to look again, and make sure to create a page for him, with or without a name being identified. That would appear to make him a rare example of a major character remaining unnamed outside the context of the Book of Ether.
Considering the likelihood that Lamoni is Laman with the Hebrew -i suffix indicating affiliation, the interpretation of this name is that it means "Lamanite", or "affiliated with the binder".
In a dynastic or tribal sense, this identifies him as belonging to the lineage of the Firstborn/The Binder. It reinforces the legitimacy of the line. This magnifies the irony when he and his brother join the Nephites, as the true heirs to Laman.
There is additional irony in Lamoni's story, as a true heir, much like Ammon, who taught him, laying down his arms and giving up his throne to join the Nephites, while, among the Nephites, those who sought power (Amlicites), took up arms to try to steal the throne. If analysis cited by Benjamin McMurtry is correct, and the Amalekites were also descendants of Mulek who had rebelled because they believed the throne belonged to them, then there is additional irony in them driving the true heirs to the Lamanite throne out of Lamanite territory and usurping power over the remaining Lamanites.[1] The Nephites and the Lamanites would become ironic mirrors of each other; each society having been ruled by a minority ethnic group, one by the voice of the people, and the other through force of arms, by a people who had left because they chaffed at being ruled by the minority ethnic group.