Glad u see success, chaver!
I, for one, see sex/lust addiction not as being 'in a sexual sense', but always 'in every sense'. In other words, I never saw my problems as mainly sexual in nature - except when I was still in active addiction. Then, all I could see was my sexual and religious/moral struggle - and I assumed that recovery would mean sexual healing above all.
But I didn't get better for years, even though I did all kinds of things to try to fix my sexuality and sexual morality...until things got worse and worse and finally after about 15 years of isolated struggling, found Sexaholics Anonymous and a real, live chevra of people openly staying sober working the 12 steps. Since then, I have been sober one day at a time and personally met hundreds of other frum yidden as well as thousands of gentiles, all with the same exact basic issue and all with the same basic solution.
People who see themselves as addicts and work the 12 steps, generally do not differentiate much between one addiction and another. I'd be perfectly comfortable in an AA or NA meeting simply introducing myself as "Hi, I'm Dov and I'm an addict," and have done that when no SA meeting was available while we were somewhere on vacation, for example.
But more to the point, we generally do not see our basic problem - or our basic solution - as a sexual one. For this reason, none of the 12 steps addresses sexuality - or in the case of alcoholics, drinking. Instead, the only place drinking or not drinking is even referred to is the 1st step. After that, for the next 11 steps, we talk about sanity (step 2), about our relationship with our G-d (steps 3,5,7,11, and 12), and about self-honesty and our usefulness to G-d and others (steps 3,4,5,6,7,8,9,10,11,and 12). The steps and recovery is not about 'not drinking or lusting', and the sexual healing that definitely occurs in most cases, is just a small part of the journey.
And I want to say that while my wife and I have seen great healing and progress in all aspects of intimacy (including sexually), I don't see that as the main fruit of my recovery, by a longshot. It's overshadowed by my newfound sanity! And I mean that seriously, not being kitch.
But it's great that you have found some sexual healing and real intimacy through the work you are doing! All I am saying is that I see addiction as an issue affecting my humanity and sanity, in general, rather than as a thing focused on my problem: sex, alcohol, cocaine, or whatever.
Does that distinction help us understand each other better? It's an important one, to me, so thanks for letting me share it with you, chaver.