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It's a crapshoot right now. Cable runs under 20' should be able to handle what you want if the cable is a Premium High Speed HDMI cable (certified by an ATC with a QR code for authenticity) but there are no 100% guarantees because there is more to a successful connection that just the data pipe (cable). It also depends on the HDMI chipsets within your devices, cable setup, etc. Don't be fooled by the expensive cables (Monster, AudioQuest, etc) because they will make all kinds of claims with really slick marketing but the bottom line is that cables that cost a lot less will perform just as well. You'll just need to try various cables and see what works best for you. Try Monoprice, MediaBridge, BJC, etc and pay attention to the return policies. If your run is in-wall you should consider running your cable in a conduit because you will be swapping out your cables again at some point in time. The only way to "future proof" you cabling is with the use of conduit if your cables are not easily accessible or in-wall. Forget about HDMI 2.1 for now because that is a whole other can of worms that is going to rear its ugly head next year.
What Otto said was "get premium certified cables". That's a real thing and not just marketing, and if you buy online it does not cost any more than a non certified cable. Look for Monoprice on Amazon.com, but make sure to get the "premium certified" ones.
MediaBridge makes good cables. I've used them in the past, at least for 1080p, and they were flawless. The "hand testing" is a bit misleading though because you don't know what that means. Were they just plugged in and tested for a signal or were they tested with a battery of recognized testings procedure? Even a certified cable (one with a QR code for authenticity) is not a 100% guarantee that it's going to work with your particular equipment. All you can do is try. They may work just fine. If your setup is a bit difficult to get to (cables behind furniture, in-wall, whatever) then I would lay them out on the floor for a couple of days and thoroughly test them out before the final installation. You never did say how your cable run is setup.
