The magnetic proximity effect (MPE) is a well-established magnetic phenomenon that occurs at certain heavy-metal (HM)/ferromagnet (FM) interfaces. However, there is still an active debate as to whether the presence of a MPE affects spin transport through such a HM/FM interface. Here we demonstrate that the MPE at Pt/Co and Au0.25Pt0.75/Co interfaces can be enhanced substantially by thermal annealing protocols. From this ability, we show that the MPE has no discernible influence on either the dampinglike or the fieldlike spin-orbit torques exerted on the FM layer due to the spin Hall effect of the HM layer, indicating a minimal role of the MPE compared to other interfacial effects, e.g., spin memory loss and spin backflow. © 2018 American Physical Society.