Phylogenomic discordance is increasingly an expected feature of insect systematics rather than an exceptional failure of inference. The difficulty is therefore not simply detecting conflict among loci, sites, gene trees, or analytical methods, but determining what that conflict can legitimately reveal about species history. Incomplete lineage sorting (ILS), introgression, gene-tree estimation error, model misspecification, orthology problems, rate heterogeneity, uneven taxon or locus sampling, missing data, and concentrated character support can generate partially overlapping signatures. Consequently, discordance itself is not a diagnosis. This Forum-compatible conceptual article develops a differential framework for separating these sources before phylogenetic conflict is translated into species-tree or classificatory conclusions. Evidence from alpine Parnassius, Aphididae, Odonata, Heliconius, Anastrepha, and the Bactrocera dorsalis complex illustrates biologically distinct discordance regimes, from predominantly ILS-associated rapid radiation to histories in which ancestral or ongoing gene flow contributes materially to conflicting relationships. Methodological evidence further shows that support, concordance, topology frequency, branch length, site pattern, and network structure answer different inferential questions and remain sensitive to distinct failure modes. We argue that interpretation should proceed through explicit separation of observed conflict, analytical adequacy, biological-model compatibility, and downstream species-history inference. The resulting hierarchy is proposed as an organizing architecture rather than an empirically validated diagnostic algorithm. Its central objective is to preserve mixed-cause and genuinely indeterminate outcomes instead of forcing discordant insect phylogenies into a premature binary explanation.