whether the device is a transistor or something else, understanding how the device works is about doping and carrier transport and potential barriers and Fermi energies and the such.
understanding how to use the device is not the same. to use the devices, the physics you need to know about for lumped element circuits are Kirchoff's Voltage Law for each loop, Kirchoff's Current Law for each node, and the Volt-Amp characteristics for each element or device in the circuit. the rest is math. i am not saying that the circuit designer need not know how to do math, including dealing with non-linearities. and i am not saying the circuit designer need know nothing about the devices, he or she must know about the volt-amp characteristics and what parameters affect these volt-amp characteristics.
but the volt-amp characteristics is sort of the work product of the device designer, not the circuit designer. both of these engineers need to know something about what the other does, but it's the device designer that needs to know his solid state physics. the circuit designer needs to know the volt-amp characteristics, KVL, and KCL, and that person can do circuits.
if the circuit is on a common substrate, that circuit designer has to worry a little about the coupling (via a reversed-biased junction) to the substrate and how that might affect the behavior of the circuit. there is a very small leakage current and there is a very small capacitance. it's like every node in the circuit is connected to the substrate via a little reverse-biased diode or very tiny capacitor. at high frequencies that's a problem and the circuit designer needs to worry about that. but once the device designer gives the circuit designer the diode or ebers-moll or whatever V-A characteristics, i don't think the circuit designer need worry too much about the physics inside. as long as the devices are isolated.