The gate to source capacitance of T2 is 10pF. That in itself represents around 250k at 60kHz, quite low. When you increase C3 some of that pipes through because this is not a high beta BJT.
Not amplified but muffled by the gain. This gain is not very high though (at frequency).
You are on the right track there. Also, the source of T3 is soft, not as rock solid in node voltage as if you had a BJT in there.