Not sure what you mean by "frequency bounds check", but if you mean a bandpass filter, then it is not going to save you. The attack, as I understand the paper, works by having the AM-encoded ultrasound demodulate to the audible frequencies
at the microphone, before frequency filtering and ADC. This would imply you could use this method to inject voice even to simple recording software (or even analog hardware!) - it's not limited to machine-learning voice recognition systems!
The paper describes possible ways to mitigate the attack, though. One of them is to let the whole signal pass, and then try to detect ultrasonic AM in software, demodulate it and subtract from the audible frequencies. This is pretty much correcting for the physical structure of the microphone in software.