The long-standing model for hematopoiesis, which features a dichotomy into separate lymphoid and myeloid branches, predicts that progenitor T cells arise from a lymphocyte-restricted pathway. However, experiments that have detected myeloid potential in progenitor T cells have been reported as evidence to question this model. Mapping physiological differentiation pathways has now led to opposite conclusions, by showing that T cells and thymic myeloid cells have distinct origins and that, in vivo, T cell progenitors lack significant potential for myeloid lineages including dendritic cells. Here, we review the underlying experiments that have led to such fundamentally different conclusions. The current controversy might reflect a need to distinguish between cell fates that are possible experimentally from physiological fate choices, to build a map of immunological differentiation pathways