12dB in either direction was standard issue in, like, the 70s. Plenty of modern eqs can do almost 40dB of damping.
Human ears are, in fact, way less sensitive at higher frequencies. Review the Fletcher Munson curve. Takes an order of magnitude more power to generate same perceived loudness at 10kHz as 1kHz.
This is a piezo speaker, which typically have really different driving requirements than a typical transducer, so it's probably not suited to work with most existing amplifiers anyway. Getting the EQ right is table stakes for getting this production ready.
Source: me, I have about a decade of experience in consumer audio.