First, the raw audio in the Etherwave is about 550mVpp only with a -300mV offset. Second, you'll definitively have to use a wave shaping circuit because no external instrument tuner will give precise readings with the u-formed wave and the offset. Third, you should not load the raw audio with anything lower than 50kOhm. Fourth, the circuit has to operate from symmetrical +/-12V (which is not the same as unipolar 24V!) and might not draw more than 20mA on each line.
So, this 1A to 3A driver module is only suitable for one thing: To ruin your Etherwave.
There is still another reason why an OTA is the best solution here: It does the soft clipping without feedback onto the raw audio signal. Using a standard op-amp in whatever schmitt-trigger or limiter configuration to obtain a similar output signal would forcibly bleed the square wave back into the Theremin's audio and it would then have the same ugly sound like the Theremax.
I highly value Christopher's scientific mind and all the experiments he does, but here, he is completely off the rails.