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A few comments on Istvan's criticisms:
1. The peizoeletric effect is proportional to voltage. A small cap in a car could have large voltage swings. An Eestor battery would have almost constant voltage. In effect, the large capacitance of the battery damps voltage swings.
2. The WIPO patent measures permittivity of 19.8k at 85C and 3.5kV and 5kV. This clearly addresses the voltage saturation issue. As for the temperature coefficient, the tests were done at 85C, Not at room temperature of 20C as Istvan suggests. Was 85C chosen to show temperature independence?