Clearly you've never had an Ethernet Cable that got caught in a door. Or was terminated poorly. Or doesn't have the insulator sheath under the crimp. Or run parallel to a set of Florescent light ballasts. All of these events can reduce performance on Ethernet without causing it to fail outright.
There is a reason why every single TIA/EIA 568 cable plant is carefully tested for things like Near End Cross Talk (NEXT), Latency, Skew, etc..
There is also a reason why there is an entire _discipline_ dedicated to ensuring that the "Digital" signal not only has a channel, but a meticulously crafted one. (See: http://www.linktionary.com/t/tia_cabling.html for details)
To reiterates the OP - there is no "Digital Signal" - signals are analog in nature, and they need an analog channel to transmit them. That analog channel needs to be engineered carefully to get the lowest EBR (Error Bit Rate) possible.
What's interesting is the Failure case of the Digital CODEC on the other end - some may reduce transmit rate in the presence of an increased EBR resulting from dropped packets. Or some may seize up and cease to function. In the degraded case, having a pristine analog channel from the transmitter to the receiver will certainly result in a better digital signal.
There is also the issue of future proofing - We're installing an entire plant of Category 6a cable right now in one of our data centers for a gigabit environment - Category 6a is like the "Monster" version of Category 5e/6 - It seems like a douchey way to do a network install, except when you consider the following - (1) this cable plant will be in use for 10-15 years, (2) We're testing a bunch of Nexus 5010s that will likely make good use of that 6a for 10 Gigabit. So, in addition to passing _today's_ signal flawlessly, it will also pass tomorrow's. This might be an important factor if your HDMI cable is being run through hard to access cabinets/walls.
Now, with all that said, it is still probably the case that the $150 Monster Cables (under normal circumstances) don't have a lower EBR than a $10 cable, but, in the face of RF interference, It may actually be a better performer. I don't know, but I wouldn't discard the possibility without a bit of research and education.