Whenever I strive to do something every day, it ends up feeling forced or contrived, and inevitably the quality drops. (I might be atypical in that regard?)
Furthermore, I think there is such a thing as wearing down your audience. It’s like you’re lowering your own value. Sure, you might still produce really good piece on a weekly basis, but they live in the same house as all your other, potentially mediocre posts.
That said, I strongly agree that we should all try to write every day. I started blogging earlier this year, and only at that point did I realize how difficult it is. So, taking my first point into account – my suggestion is that you do write every day, but not necessarily share everything you write. A journal is good for this, or even write it on your computer without publishing it. Whatever works. By doing so, I think you still develop your voice and style, without obligating yourself to add to your blog every day. This approach has helped me avoid burnout. Plus, there's something I really enjoy about writing things just for myself.