First off, the very concept of Lucifer can apply to absolutely any religion in some way, regardless of whether we attribute the religion to the Right or Left. Jesus himself recognize himself as Lucifer, and you certainly can't argue the Christianity is a LHP religion. Buddha was a bringer of light, though her certainly wasn't LHP and his religion is more anti-LHP than possibly Christianity! This enough should set Luciferianism apart from the LHP, even if only LHP practitioners are intelligent enough to understand the true nature of the concept.
Second, the goals of Luciferianism are not necessarily LHP, and the main Luciferian archetypes were almost anti-LHP themselves. The serpent in Eden gave humans knowledge without any possible reward and a guarantee of punishment. Prometheus risked his own life in order to bring fire to humanity. Thoth never needed to do a thing at all. The Luciferian archetype takes the force of Light on themselves and aides in spreading it to the world. This is not even slightly LHP except for the fact that the Luciferian may also desire the light themselves.
Third, the Luciferian is not concerned with social values nor with breaking them, is not interested in the status quo, is not inherently interested in revolution (revolution only being a concern when it is necessary). The Luciferian is simply interested in understanding truth and using it to the best of human ability. In this sense it transcends both the LHP and RHP distinction.
Second, the goals of Luciferianism are not necessarily LHP, and the main Luciferian archetypes were almost anti-LHP themselves. The serpent in Eden gave humans knowledge without any possible reward and a guarantee of punishment. Prometheus risked his own life in order to bring fire to humanity. Thoth never needed to do a thing at all. The Luciferian archetype takes the force of Light on themselves and aides in spreading it to the world. This is not even slightly LHP except for the fact that the Luciferian may also desire the light themselves.
Third, the Luciferian is not concerned with social values nor with breaking them, is not interested in the status quo, is not inherently interested in revolution (revolution only being a concern when it is necessary). The Luciferian is simply interested in understanding truth and using it to the best of human ability. In this sense it transcends both the LHP and RHP distinction.