what the usage of speaker surround shell?

I find lot of speakers without it,
can glue this thing can improve the speaker quality or protect it better?

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Do it improve the sound somehow if I add it ?
No. It is more likely to degrade the driver's performance because the physically symmetrical discontinuity caused by the surround can cause a wavelength related reflection or discontinuity in the radiation impedance seen by the cone, with associated ripples in the frequency response and aberrations in the time domain / step response of the driver.