Slow processing also occurs in non-autistic people with autistic traits who are part of the broader autism phenotype (BAP) which is similar to ASD but milder. If someone born with the BAP felt rejected when they were a baby, the depression and anxiety that resulted would, as you say, exacerbate their autistic symptoms. That could result in them qualifying for an ASD diagnosis. If they overcame their depression and anxiety, their level of symptoms could be reduced to the point where they no longer qualified for as ASD diagnosis. That would be considered recovering from autism. If that wasn't the case, because they still had autistic traits, then you'd have to redefine autism to include everyone that's part of the BAP.
Here you argue that people with BAP may get diagnosed with ASD if they are also depressed and anxious, and that if they recover from the depression and anxiety they will then no longer have autism?
So, what you were saying in your first post, then, was, if the only thing getting a person a behavioural diagnosis of autism which arguably they shouldnt have had was depression and anxiety, which the person then recovers from, they may not get the diagnosis, as their autism traits in the first place were insufficient to merit it? I see. This is about the variables and difficulties of behavioural diagnosis then, really.
I have never had a behavioural diagnosis of autism, nor do I think I would get one. To me, the marker of the neurological difference that I have was only able to be clarified after I had worked on my issues in therapy for many years, but despite extensive success, still could not account for or change certain aspects of how I am, such as difficulties in unstructured social interaction and with to and fro communication, slow processing, poor executive function, difficulties in maintaining relationships,etc.
My training in family therapy enabled me to work with and study Aspergers and autism at that stage, a happy coincidence and I was then able to realise that the Bermuda triangle that beset me in areas of unstructured social communication and life generally, was actually exactly as it seemed, that there wasn't something further I could learn to change this inner experience, as I had tirelessly tried to do in therapy and self development throughout my life, because in fact, I had a different brain.
Furthermore, I was then able to find that understanding was currently dawning that female socialisation, alongside diagnostic terms based on male phenotype expression, has complicated recognition of autism in women and girls. I recognised many aspects of myself at that point, through researching this and reading more from women with autism and clinicians, about autism as it is for many socialised as women.
This helped me realise that there were aspects of how I experienced the world that I couldn't change, but could work around with strategies that may enable best compromise with how I am.
Something I particularly learned in my journey that may be useful to you, OP, is that Attachment theory based on the work of John Bowlby and extended by many others, a fully researched and tested theory, applies to all, NT or ND, and that attachment processes that lead towards ability to maintain secure attachments, are able to be extended and worked on despite a difficult start or upbringing, so that although this isn't always easy to work on when one has slow processing, difficulties with to and fro communication and unstructured social situations, poor executive function and other setbacks due to brain difference, nevertheless progress can be made.
People who feel genuinely secure in themselves are able to extend tolerance and support more easily in relating to others, and this development really only occurs through ongoing attention to and work on self in relating. I recommend therapy, therapy groups, couples counselling and work on self in this area to you, and others who want to extend their progress with relating.