People always ignore factors like genetic divergence and adaptation to the environment. Phenotypes are not the sole result of admixtures. They mostly have nothing to do with admixtures. Are we going to argue that the Andamanese got their phenotype from admixture with SSA? No, they are entirely East Eurasian and their phenotype is the result of convergent evolution.
The AASI component among Iranians is negligible but they must have a significant "southern" component in their DNA that may have been represented by ancient carriers of haplogroup L and perhaps even T. Those are not South Asian haplogroups.