I don't think the desire for an orgasm (the craving between your legs that you start to feel as a child) is the fault of the patriarchy. That's a natural part of growing up, usually hormonal - masturbation feels good, orgasms feel good. I was obsessed with masturbation as a teenager, but I didn't get into a relationship until I was 23, and I've been monogamous ever since. I love sex, and masturbate every day (often multiple times) but I'm not a sex addict because it's not to fill a void, it's because physical pleasure feels good and I like feeling good.
You're right that seeking validation through sex is a sign of sex addiction though, or perhaps relationship addiction, and that is something that the patriarchy really influences. I think that's a separate issue than feeling a physical "itch" for sex though.
Learning to satisfy yourself sexually can be a wonderful way to practice self love! :D