We identify two basic families of isotopes in the mass range 12 ≤ A ≤ 122 produced during freeze-out expansions near the mass-cut of core-collapse supernovae. The majority of isotopes are classified in the first family, where their mass fraction profile depends on the characteristic phase transition of the freeze-out. The isotopes of the second family include the magic nuclei and their locality, which become nuclear flow hubs and do not sustain any phase transition. We use exponential and power-law adiabatic profiles, and introduce additional non-monotonic profiles to mimic explosion asymmetries and reverse shock nucleosynthesis. We perform reaction rate sensitivity studies to identify nucleosynthesis trends of radioactive trace elements. Non-monotonic profiles involve longer non-equilibrium nucleosynthesis intervals compared to the exponential and power-law profiles, resulting in mass fraction trends and yield distributions which may not be achieved by the monotonic profiles. In addition, we compare the yields of ⁴⁴Ti and ⁵⁶Ni produced from post-processing the thermodynamic trajectories from three different core-collapse models—a Cassiopeia A progenitor, a double shock hypernova progenitor, and a rotating 2D explosion—with the yields from the exponential and power-law profiles. Our analysis suggests that radioactive trace elements may be produced by multiple types of freeze-out expansions in core-collapse events, and that reaction rates in combination with timescale effects for the expansion profile may account for the paucity of ⁴⁴Ti observed in supernovae remnants and ⁵³Mn in presolar grains.