I started with what you recommended because the downside and risk of simply cleaning it is next to non-existing.
I say "next to" because the remote is so tightly put together that you have to pry it open with different screwdrivers and crowbars and you almost certainly will damage the edge of the plastic covers where they meet.
The remote did change its behavior after the cleaning, so to speak, but it's still not completely there.
First symptoms and the reason I wanted to repair it could simply be described as non-responsive remote. I had to force the buttons, really press hard or hold and slowly jiggle until it sends the signal.
After the cleaning, it sort of, goes to sleep... If you're picking up the remote after a day or two of not using it, first couple of times you press buttons they do nothing, but after 4-5 times when they start they become very responsive, the remote starts working like new. Meaning that it'll work even at bad angles, even with a very gentle press of the buttons and every time. And I mean it, every time.
It's just that you have to get it going. Now this "get going" is not really clear to me; the remote is clean and can obviously perform well, but it doesn't when left alone for some time. Also I don't think this is batteries because I'd expect batteries to cause an opposite symptom; work well when you pick it up and gradually looses virility if you overdo it.
I don't know what else to examine.