Is circuit analysis really used?
Actually, there are usages to circuit analysis, even beyond pure EE fundamentals:


Review a schematic from your colleague in a final design review;
Reverse engineer an older circuit produced by a retired engineer which was sloppy at documenting its designs (True story during an internship...);
Reverse engineer open-hardware design to learn new patterns/circuits;
Understanding side-effects experienced by your design when you have parasitic resistors/capacitors affecting your circuit;
Troubleshooting mistakes in digital circuits: a colleague had an internal pull-down that he inadvertently activated.  Understanding circuits explained the cause of the remnant ~0.4V signal that we saw on oscilloscope without wasting hour debugging code and PCB;
Understanding what a circuit that you designed really does.  It is not always possible to implement a transfer function literally to components, but with experience, you know what will happen if you add a resistor/capacitor at a given location and if not, you can analyze it quite fast (to guess behavior) prior performing extensive calculus.