Maybe, but worth the experiment.
Not all sounds emanating from a vocal tract can be construed to be speech. Shout-downs are behaviors, more than speech, intended to impeded another’s speech rights. Because the speech content of a shout-down is often irrelevant to the effect that it has, words that might be present in the sound stream are little different than what might come from an air horn.
A restriction on shout-downs might easily be written to be content neutral, and stated to have the goal of fostering an environment of debate and exchange. Or it might be written badly. Let’s see.