They do. You can see people recommending Brother printers right here in this thread. I also switched to a Brother black and white laser printer years ago and never had another printing problem. Later I found a Brother color laser printer at an estate sale and used that for years (didn't really need color, but it was a good deal).
I don't know what the actual numbers are, but if I had to guess I'd say Brother has been stealing market share from HP for a while now, because their products are better. It's one of the top comments practically every time there's a thread like this.