I've read many supporting articles for your POV in Home Education Magazine. Their website should be back up and running. They have articles by homeschoolers of many styles, but are unschoolers at heart (especially recently! I love it!)
I have not taught reading, but both my girls have been actively interested in learning to read. How that looks has changed over the years, but now both have taught themselves (with help when they ask for it).
It is important for me to have some resources available to them. This does not mean workbooks or books on digraphs (though dd2 loved the books like "Fun with I and G" or whatever, and would bring home piles of them from the library). And it doesn't necessarily mean "strewing", which some parents find manipulative. I simply mean, having interesting reading material in the house, for everybody. This doesn't have to be directed at children Some of the most engaging books are large tomes with tons of pictures. DH and I also read aloud to them, both at bedtime and during the day, Once upon a time, we read close to twenty books to them every day(I include chapters of Winnie the Pooh and Little House, etc.)
What is most important to me, though, is that dh and I are interested. We read fiction, we read about science, we look up record sky dives and Martian landings on the internet. We wonder aloud, and look things up. The only thing that I have intentionally changed of my habits, with a mind to modeling, was writing. DD1 was struggling with writing and I realized I hadn't been writing anything myself. I can't say that my writing more led to her writing more, but I simply realized that she couldn't learn by osmosis what wasn't being used daily in our home. (I feel the same way about music, BTW.)
In order to be at peace with my child's lack of interest in such foundational skills such as reading, I need to ask myself why.
--Is the skill something that is not present in our house? Do I need to change that (such as making a commitment to reading more or writing on paper)?
-- Is there something preventing them from having ease in learning it (difficulties with fine motor control such as dd1 had with writing and drawing, or perhaps the need for glasses)?
--Is it age appropriate for them to be disinterested, or lacking in readiness? (I would say that not wanting to read at 7 is age appropriate!)
--Are they rebelling from something I am doing unintentionally? (For example, if I were constantly bringing home beginner books for her to read that aren't engaging, or the perhaps they see the whole thing as manipulative on my part).
If I were satisfied that I've explored the issue, I would be at peace with their choices. I can't answer for myself 5 years down the road with children 11 and 13 that I would still be as serene as I feel now (though I hope I will be), but for now, I would be satisfied. I'm pretty optimistic, I guess. *I* am self-motivated, I am engaged, curious about everything, skillful in many ways, then I know my girls will be too. How that will look in their lives, I don't know. I think, though, that the confidence I have in my children influences their own.