I haven't read the entire thread, but here's what I have to say.
I sort of kind of don't really overly enjoy reading books. While my sister reads 50 books a year, I read erm, about five--maybe ten if I'm really ambitious. Yet, I still read things in critique threads. I read my own work, and not to be vain, but I think my stuff is pretty good!
When I started writing, I barely read any books at all. It took five years for me to finally get my drafts to a professional level. If I had read books, I might've been able to cut that down. It took a while to realize the format of a good book. Also, reading helps expand your vocabulary. When you're vocabulary is bigger you can use one word to describe something rather than one humongous sentence.
Is reading books mandatory? Eh, not in my opinion, but they will help you become a better writer faster. People read every day and even if you don't care to sit down an read an entire novel, reading through Absolute Write can still be handy. Even watching movies can give you ideas on character development, plot development, metaphors etc. Learning these types of techniques isn't only in books, but any story whether you read it or watch it. Pay attention to the words. How the script is written.
Another thing is audio books. You could give those a try. Play a chapter before you go to bed. We've done that with the classics
Overall, don't sweat it. If you don't care to read books then don't. Eventually there might be a topic that particularly interests you and you'll want to read about it. Otherwise, I think learning how to develop a story and characters can be learned from other forms of entertainment and not just books. As far as being able to write well, reading will definitely sharpen your skills and broaden your vocabulary more than anything else will, but eventually you'll learn these even without reading a bunch of fiction books a year, but it will take longer.
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Check out this thread:
http://www.absolutewrite.com/forums/showthread.php?t=290996
It might help give you titles to look into. I recommend The Nearly Honorable League of Pirates: Magic Marks the Spot but that's MG--though I still recommend it
Join Goodreads. I actually found that once I joined Goodreads I started reading more because I was able to find more books that were to my liking.