I haven't used this technique myself but I can ignore it most of the time, and I think that's an important place to get to. For me, I feel that a big part of it is simply acceptance. If I'd get worked up over it every time I'm noticing it, I think it would be a lot harder to ignore over time. It sucks but this way it sucks a lot less.
It's a funny thing - like a bear in the woods type thing. Sometimes, when its existence gets called to my attention, like when I started reading this story and the comments just now, I suddenly realize how loud it is - but also how I've gone about my whole day without any problems, despite it having been there all the time. Not sure if that makes sense, but that's my experience and it's - fine, really.
Not saying that you shouldn't try other things, and I also don't really know how to get there beyond going easy on yourself. I'm just saying that to me being able to ignore it makes a huge difference in my life quality and so I think it's very worth pursuing. Good luck!