The ARRL tried to persuade the FCC to prohibit ISB when they didn't even know what they were talking about from a technical standpoint. I argued for ISB (with or without carrier). Its a technical mode.
That reminds me of one of the deceptive/fraudulent declarations the FeeCee used as they were pushing through the AM power issue. Of course, here on HF, we operate a handful of distinct modes: AM, SSB, FM, CW, Data, FSK, RTTY, SSTV, and maybe a couple more. But the FeeCee's argument against any footnote to recognise a special power classification for AM was that full-carrier double sideband is just one of more than something like
1300 emission types used by amateurs. This was based on the new ITU system of emissions designators that had been adopted about that same time. We did not gain authorisation for a single new mode, but under the revised designator system, even the slightest variation in any one of the long-standing modes allows it to be classisfied as a separate, distinct mode. For example, SSB with carrier, SSB reduced carrier, SSB with controlled-carrier and SSB suppressed carrier are all classified as separate distinct modes, thus the FeeCee's amateur rulemaking division was able to grossly inflate the total "number of modes" amateurs are allowed to use, to minimise the apparent significance of AM to the technically ignorant lawyer types who serve as Commissioners and give the final OK to rules changes.
Under the revised system, there is no emission designator for DSB suppressed carrier, although I have never heard anything about the FeeCee declaring it illegal to use on the amateur bands.