Not necessarily; 1 Mohm resistors inject 13 dB more noise current than 20 Mohm resistors.Use 1M instead of the 20M resistors, then 0.1uF is fine, and 10nF is acceptable.
Noise should be lower.
EDIT: Sorry, that's a silly remark. It's true, but the noise from the resistors is negligible compared to the 0.4 pA/sqrt(Hz) from the instrumentation amplifier anyway.
It's not clear to me what the input capacitors are for anyway, as a piezoelectric sensor is capacitive by itself.
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Makes sense; the INA111 has a much lower input current noise than what you use now, and only a little more voltage noise.Next iteration will be an INA series amp instead I guess.