In a composite amplifier, the driver must to be slow and output stage very fast. If the driver is fast, then could apear oscillations and you must to over-compensate. You must to see step response of the entire amplifier with different loads, resistive, capacitive, etc. Until you do not know how much stable is your amplifier, you will not know the truth. What is the bandwidth of your entire composite amplifier ? Maybe is too large and must to reduce it.