For short cables, under 10 feet, definitely under 6 feet, most cables do just fine. For long cables, quality is important and does matter. I've come across more cheap and not so cheap cables over the years that work terribly or not at all at long distances.
Monoprice is an example of a quality cable at a great price. Blue Jeans Cable you also won't go wrong with. They are both Belden last I checked which is why they are good and work. Neither are a Chinese cable. DVIGEAR cables (the blue ones) are also excellent. A very high-end 3D projection manufacturer uses them exclusively during all their demos and trade shows and they are running 40+ft dual HDMI for full 1080P 3D. They are priced about the same as Blue Jeans higher end cables.
With HDMI, quality does matter. Not because its analog or digital, but because HDMI spec was short sighted and never designed for that transmission distance. So manufacturers are forced to make ridiculously overbuilt cables to transmit at those distances and only the best work reliably. As far as Im concerned, HDMI needs to go. But since we have to have it, anything Belden will keep you safe (or as safe as you can be with HDMI). Monoprice buys in such massive bulk, they get insane deals. Belden is generally very expensive. When I start having to go past 40-50ft, even I move away from Monoprice and only use Blue Jeans or DVIGEAR top of the line. If you're pushing 1080P 3D at those distances you are right on the razors edge as it is, even with the best cable.
I'm all about the fiber transmission, flawless. Still too price prohibitive for most but it will get there.
Edit: While a good article to point out price does not equal quality, their conclusion is dangerous and misleading. They tested cables at short lengths. Yes, if it works, the results are identical. Expensive is a waste. Quality HDMI cables are not for improved image, it is for reliability. If it works perfectly at 10ft or 40ft, your results will be the same. The problem is many cables dont work well at 30ft+ distance, or work sporadically depending on source and resolution. That's where quality does matter. Its not about getting a better image with a better cable. Its about getting one at all over long distance that stays synced. That's when you need top quality. I've tested Monoprice up to 40ft without issues and DVIGEAR over 50ft with 1080P 3D. You can tell it's solid. That thing is FAT.