Except that’s most physics programs, not just mine. After learning nuclear, calculus classes, solid state, electromagnetism, classical mechanics, stat mech, QM, optics, materials etc. there isn't any room for CS classes. Maybe, if you’re doing a 4 year bachelor and have to take electives outside of your field you might, but there isn’t time.
But even then, the intuition from physics for learning PDE isn’t really required. I took a PDE class in my MFE and we used your book. Most students had no trouble understanding the intuition with flux and divergence of heat for solving PDE when they didn't have physics backgrounds