I'm a teacher with 20 years experience and I wouldn't consider myself able to home ed. I find it baffling that so many people do it tbh.
Is that maybe because you're imagining home ed as being like school but at home? Because in most families it isn't. Home educating families are required to provide a 'suitable' education, suitable being defined as 'that which equips the learner for life in the community of which he is a member'. How they go about it is upto them.
There is no obligation to follow the national curriculum and most don't. The national curriculum is very broad but very basic, it teaches a bit of everything and a whole lot of nothing. I think most school teachers, or certainly the ones that I know, recognise that much of it is outdated, irrelevant and unfit for purpose and that students retain very little of it long term. Home educating families can focus on what is relevant to their family and specific interests, giving them the opportunity to study things at a great depth and to gain practical experience in their field of interest which can give them the edge over their schooled friends when it comes to applying for uni or work.
Home educators also don't have to teach subjects individually and many don't, finding that one topic or interest encompasses many different subjects. Yes, when it comes to taking gcses (which many home educated children do and do very well) it may then be necessary to refer back to the national curriculum or embark on more formal study, but most families find they can master the material needed in a few months.
I home educate and I couldn't do what you do. I would never be able to teach your subjects in as much depth as you can. In fact I do very little teaching. What I do do is facilitate - I ask a lot of questions, I make suggestions, I encourage discussion, I provide access to resources, I expose my child to as many ideas and topics and opportunities as I can, and I seek out mentors. If they show an interest in something which is beyond my scope to teach then I find someone who can. Home educated children attend activity groups, workshops and classes, some go to tutor groups, some have private tutors, some have mentors, some learn through books or online websites, some do volunteer work. The options are endless.
There's very little research comparing home educated children to school kids, most of it is anecdotal, though i'm happy to report that all the home educated children I have known who are now grown did very well academically, have thriving social lives and are all gainfully employed. One of the few studies there are comparing them to school children suggests that what determines whether or not a home ed child will thrive is not the parent's level of education but their level of commitment. I haven't yet found any interest my child has or anything my child could experience in school that I can't provide for equally well or better through home ed.
Interestingly, teachers seem to fall into one of two canps when it comes to home ed - some are totally baffled by it, can't see how it could possibly work and disapprove completely, and others totally get it, think it's brilliant and wish that schools were able to adopt more home edding principles. An estimated 40% of home educating parents are ex teachers (i think its very telling that so many people with direct first hand experience of the school system dont want it for their own children), and funnily enough despite their teaching experience most don't teach in a school like way but follow the more infornal approach described above.