Vitruvius described how Greek and Roman theaters used pots to improve the sound. Generations since have wondered what he meant, since no examples survive, though there are some niches that might hold a bronze container. (Metal was valuable, and re-used elsewhere, while clay pots broke.)
If the resonators made an audible tone, could that confuse the singers and lyre/flute/drum players? The result would be slightly delayed, like reflections in a big hall can be.
Resonators can be used not just to amplify but to dampen inconvenient frequencies too. Reflections off long stone walls can really muddy the sound, making it hard to make out the speaker/singer's words. Some 10th to 16th century churches were built with pots stuffed with sound absorbing stuff built into the walls.
I get itchy when "it is likely" turns up in essays, such as this article:
It is likely that the function of the vases would have been to make some sounds louder than others by allowing them (or the air within them) to sympathetically vibrate when certain harmonics 'hit' them. So, when a singer performs a perfectly intune scale, a number of vases would ring creating a harmonic chord. An artificial reverberation (RT60 time estimated as 0.2-0.5 seconds, Landels) containing only those harmonics listed in the vases pitches would be produced in an open-air theatre that would otherwise have none. There may be another purpose for the vases other than those already mentioned. Some believe the acoustic jars helped singers and those relying on ear for maintaining pitch to keep to proper pitch. As indicated, the resonance of the vases would have given emphasis to important pitches leaving the others silent. If the artificial reverberation concept is difficult to accept, the assisted resonance idea is perhaps a little more attractive. No definitive answer has been found to the question of authenticity and intent with regards Vitruvian resonating vases.
Note that the hypothesis that the singers could hear them and use them to maintain pitch would imply that the singers would hear the slight delay that I mentioned above, which could confuse the timing. Maybe it's true and the drums helped keep the beat. And IIUC an RT60 of 0.5 seconds isn't bad.
So far I haven't found who may tried it out on a large scale: "Ideally, a complete set of vases needs to be made. However, the sheer cost of a minimum of ten bronze vases has presumably prevented most researchers from pursuing the project." Researchers have modeled them in software, and found some enhancement of male speaking voices (the Greeks didn't have actresses, apparently).
The last link lost all its formatting, making it hard to read. In discussing harpsichord resonances it cites Spiteri thus: "the sound of a harpsichord is like two skeletons making love on a corrugated iron roof".