[Radio Wrangler]

The term ISB best fits the case where the transmitter applies different information to the two sidebands, or there may even be two separate SSB transmitters sharing a carrier source.

If the transmitter applies the same information to both sidebands, and a receiver chooses which sideband to reproduced based on, say, interference or fading, then 'sideband diversity' is a good description. The difference lies in the intent of the system, the TX may be a plain old DSB AM job with full, reduced or suppressed carrier and the receiver may be one capable of fully independent sideband reception.

David