you did not specify in your original query that this was about voltage amplifier circuit, though we have assumed that until now. But even internal to a voltage amplifier designs (which in any but the most simplistic) will have constant current source(s) to improve power supply noise rejection, and to provide a good, consistent load for the Voltage amplification stage (VAS), among other things. Once you get beyond a simple 1-transistor circuit, you can see that more complex circuits such as amplifier topologies consist of numerous subcircuits, each of which need to have specific input/output impedance characteristics to do their job well, and the the proper operation of the whole device relies upon them all.