I would say that homeopathy, for instance, should not receive a government funding as a treatment, and very little funding government funding for research. Same for astrology.
And I would whole-heartedly agree. But that is a specious comparison, for at least two reasons. You are attempting to compare a phenomena (LENR) that has quantifiable and measured results by multiple independent persons and labs, to areas in which quantifiable results are not possible to obtain. Second, the two categories that you identified do not have the potential to change the world in any significant way. When the potential payback of a phenomena is so high, and there exists quantifiable evidence from multiple parties, it is beholden on our society to allocate time and funds to further the discovery of the underlying mechanisms of the phenomena.