Kazhdan and Lusztig introduced their eponymous polynomials for a Coxeter group W in 1979. Shortly thereafter, Lascoux and Schuetzenberger studied Kazhdan-Lusztig polynomials for Grassmannians and showed they admit closed combinatorial formulas (a very special situation). Generalizing the Grassmannian case, which corresponds to a maximal parabolic subgroup in finite type A, when (W,P) is a Hermitian symmetric pair then Deodhar's parabolic Kazhdan-Lusztig polynomials are unusually tractable and admit closed formulas. Work by Stroppel and co-authors in the 2010s showed that these polynomials arise from diagrammatic algebras related to Temperley-Lieb algebras, while work by Elias and Williamson from the same decade produced Kazhdan-Lusztig polynomials from the diagrammatic category of Soergel bimodules. I will report on joint work with Chris Bowman, Maud De Visscher, Niamh Farrell, and Amit Hazi which links these two strands to show that an oriented version of Temperley-Lieb algebras of type (W,P) controls the Kazhdan-Lusztig theory of Hecke categories of Hermitian symmetric pairs in arbitrary characteristic.