Sorry, I've not read the whole thread but this kind of blanket statement is just not true. Very few home-ed children are 'removed from Society' and if they are I'd argue that the home-ed title is being used to cover other motives.
From what I've seen home education is as varied as parents and children. It really does depend on the reasons why a child is struggling and the kind of alternative provision put in place. For many home-ed children that means they're as much a part of society as any other child it's just on different terms. So their schooling might involve home ed groups, other community groups, Forest school set ups, local sports/arts/chess/drama groups, mixed aged activities, tutoring groups etc.
I think the biggest difference for ND kids being home schooled is that socializing can be tailored to their specific needs in terms of environment, duration of activity, sensory triggers etc. This actually builds resilience/tolerance rather than pushing them to crisis levels of anxiety and a burn out situation. It's a bit like staged exposure therapy implemented at the child's pace so as the child matures they learn more effective strategies to cope with the world, allowing them to access the opportunities they need.
The other thing to bear in mind in terms of preparing kids for the world of work is that traditional schooling - a large, diverse cohort all grouped together for 11-13 years with no real option to opt out - is not replicated anywhere else in adult life (unless you end up incarcerated or join the military). Even quite regulated work environments offer far more flexibility than this - and even if they don't you at least have the possibility of choosing a different job/ career.
Back to OP. You are obviously trying to do the best you can for your child within the constraints of your family situation - finances, risk to future earning power, your own abilities, child's temperament, other family member's needs etc - and as a parent there's not much more you can do than that. Your child may not be thriving in school at the moment but things could improve as she matures/ expands her friendships and there will be benefits in terms of easier access to qualifications.
Would her outcome be better if she was home ed? There's little point thinking about it if there really is no option to do it. Most home ed parents of SN children I've encountered are only taking this path as a final option (often at massive personal cost to them and their family) after all other strategies have failed. For them the alternative is complete non-attendance and/or extremely mentally unwell kids so comparing future outcomes between the two groups feels pretty redundant for them.