I told my husband I don't need him...

Last night my husband and I got into a pretty heated discussion and he said "Sometimes, I feel like you don't need me." And I of course replied "You're right, I don't." And I meant it. Don't get me wrong, I love him with my entire heart, soul and being but I can live without him. I was raised that needs are things you can't survive without, I don't feel that people are needs in my life. Food, water, clothes etc., those are needs. Being married and in love is a want, not a need, to me because I know that without my husband I'd live. He then asked me if I feel the same way about my mom and brother who I am extremely close with and I said yes for the exact same reason. He said I'm heartless and that he feels betrayed not knowing who he married anymore. I haven't heard from him since and I feel horrible, but I meant what I said and still do. I mean of course I'd be devastated if I lost him because he's the absolute love and highlight of my life, but I'd survive. I'm a very independent person and have been taking care of myself and my family from a young age due to my mom's disabilities, so I feel like I look at everything more practically. Is he overreacting or should I really need him?