How much you need your support system depends on you, and the situation you are in. A few people, the saints, don't even need a support system. They can pretty much survive on their own. The rest do need a support system, but to a varying extent. It depends on how much you allow yourself to be dependent on it. The catch, however is, once you start depending on your support system, you are pretty much screwed. It's extremely difficult to decouple.
The second factor is situation. The better the situation you are in, or the happier you are, the lesser you need your support system. Not sure if that's entirely true - you need someone to share your joy with. But what I am sure of is, when you are not in a great situation, when you are not particularly happy about things, you need your support system the most.
Now, sometimes, your support system fails. Well, they are human right? Like everyone else in this world, they have the right to sometimes behave a little selfish or self involved. Or may be, they too have the right to get involved in their own stuff, and stop caring as much about you.
The worst that can happen to you is, when you are going through a not-so-good phase, and your support system fails. That's the toughest situation you can be in. It's like holding your breathe, simply because you can't breathe. It's then that you find yourself completely helpless. All you can do at that point of time is, hope for things to resolve themselves. So that you can start breathing again, before you end up killing yourself!
So, that's my point right.. why the hell should you need a support system? No, don't blame yourself. Because your stupid creator created this stupid thing inside you. As a human, it's normal for you to seek out a support system. It's something that you are entitled to, it's something that you deserve.
All the best breathing!