My friend doesn't initiate contact

I just find it dumb.I don't think anyone really appreciates maturity or ever recognises it really.That's the kind of thing I don't worry about.
But why would anyone want to contact someone who may not even want to be contacted unless it's to annoy them or something,but I don't think it's the case here.

This is a delayed response, but thank you guys.

I have a friend exactly like this. I'm the one to contact her 99% of the time and if I do get in touch with her, we'd see each other most weekends. Earlier this year, I had a patch where I was quite busy so I decided not to get in touch - it took over 2 months for her to get in touch with me. It annoys me sometimes, but I just let it go generally, but I always wondered why she wouldn't make the first move.

We were recently talking about her mum, who's been a bit down. She said she gets annoyed that her mum doesn't phone her friends more, and tries to encourage it - with no hint of awareness that she does the exact same thing. She said that her mum's response is that she thinks her friends will be busy and don't want to hear from her, so instead she waits. I wonder now if that's the issue with my friend - does she think I'm busy? Is she so scared of me saying I am busy that she doesn't even ask?

I'm not saying it's the same for you. But maybe the lack of contact is more about your friend's issues than a lack of appreciation for the friendship - afterall, it's relatively easy to stop being friends with someone. If they didn't want to see you, they'd make an excuse.