In general double sideband suppressed carrier transmissions are redundant in sidebands. they contain same information, thus it is always preferred to transmit only one sideband, suppressing the other. you can, perhaps choose any one,at the transmitting end.
at Receiving end,the difference between s side band and carrier is taken, irrespective of sign.thus a difference between a carrier of 100KHz and usb of range from 100.03 to 110KHz is trated as 30Hz to 10KHz neglecting the sign.
In case of LSB, again the difference between100KHz and the LSB range of 99.97 to 90 Inverted as it shows up becomes 330HZ to 10KHz (watch the inversion recovered.)
Hope I am clear
if needed i am at your service to show more examples.
if both are transmitted, perhaps we need to select one of the sidebands and process them accordingly. I am told that in certain countires there are AM stereo transmissions available using double sideband suppressed carrier.
then perhaps filter each sideband and process independently and recover the audios separately and feed to stereo amplifier, though I am not sure of exact method used. otherwise , in Mono , there appears no point in transmitting both sidebands, as they contain same information and it would amount wasting power in RF amplification and band occupancy for no reason.