That probably came out of the CI in children wars. One argument is why parents implant their children is so they can hear and speak like the hearing. It is as these children were "cured" of deafness.
Another possibility refers to those who had been in deaf culture, get a CI, and then migrate away from it. There is this attitude of "I'm superior over you" bit. Maybe some of it is as they were "cured" being deaf.
The reality is that most people know CIs are not a cure and one is still deaf. Some may do extremely well with a CI(s) as to fool any hearing but most aren't in that league. Even these folks are deaf at the end of the day when they take it off and go to sleep.
I most certainly don't think of as a cure "per se". But rather as a great tool that allows me to integrate into the hearing world on their terms.