Depends on who you ask, the horn's environment/listening distance, the XO point/slope and what you mean by 'damped'.
Right now, my 511/500 Hz XO'd horns are perched on top and only the bells are damped with a thinner version of what you propose (still damped enough though), but in no way do they audibly measure up to my originals that were encased in a multiple layered, inches thick sprayed on insulation designed for insulating the inside of a commercial building's metal roof.
If I were to increase the XO to 1200 Hz/2nd order, it may not be necessary and at 2400 Hz/1st order, my SWAG is none would be needed. Doubling/quadrupling the listening distance should yield similar results.
The best compromise then is to damp the entire horn and raise the XO point to both quell any potential ringing and reduce horn 'honk', i.e. the M-19 is one realization to the extent that not increasing the XO point as much is offset by encasing the horn in a somewhat damped box to isolate any potential body ringing, 'killing three birds with one stone' (these two plus cosmetics).
GM
Addendum: To get an idea how much body damping is ideally required, listen to it setting on top with the woofer disconnected, then get two big bags (50# or more) of sand, kitty litter, grain, dog food or similar and nestle the horn on one and listen again, then lay the other on top of it.
Let us know what you think is a point of diminishing returns.![]()





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