This trend (speaking of increased branching = increased melting point) works within branched alkanes, but not if you include the straight chain (or normal) alkane..
i.e.: MP C BP C
hexane -95 69
2-methylpentane -154 60
2,4-dimethylbutane -135 58
2,2-dimethylbutane -98 50
So the trend seems to only work when you compare branched with other branched. The more compact the structure, the higher the mp, and the lower the BP reflecting packing/intermolecular forces. The mp difference fails when you include hexane in the mix."
So there is the answer. Straight chain alkanes have the highest melting point, but once there is some branching, melting point will increase with any further branching. So I guess in a sense both sources are right, but neither explains the phenomenon fully.