Disclosure: Speaker designer (planars too) and Manufacturer.
The OP's question is: Do larger planar speakers produce more accurate sound?
The challenge of answering the question is that "accurate sound" is not well defined. If he is asking about accuracy of the waveform produced by a planar transducer compared to the input signal, within the frequencies and amplitude the transducers are designed for and everything else being equal the answer is no. An argument can easily be made that smaller planar traducers are more "accurate".
Most of what is being discussed here by others is about dispersion patterns, room interaction and other design choices. Furthermore, "planar" is not defined here. There are several types of planars.