Yes, and No.
So the advantages of HDMI or Display Port over Fiber is that they can go longer distances, since the digital information is converted to light its no longer subject to electrical interference. Since Fiber is glass strands containing two slightly different strands it is vulnerable to mechanical stress which can cause pinching, fracturing, and breakage. When fiber is broken or cracked it often stops working as the light hits the break and is no longer internally reflected through the glass. So armoring the cable provides additional mechanical protection on top of the electromagnetic protection inherent to fiber.
Now.. all that said, events should not be using HDMI cables for production, it is a consumer connection and standard. It is not designed for long distances, the connectors have no mechanical locking, and they are expensive due to the number of conductors in the cable.
SDI (Serial Digital Interface) provides a much more robust signal that can run over much lower cost and higher quality RG6 cable which has a single internal conductor protected by a woven shield. RG6 with SDI runs for 100m/300ft before it needs to be boosted and equalized to preserve its signal integrity. Additionally the most common connector used for production, live events, TV, broadcast, and theater is the BNC. BNC offers a low cost field termination that can be done with limited training and simple tools unlike HDMI. This means that if a connector or cable gets damaged while in use, you can cut the damaged parts off, and re-terminate with a new BNC right away. HDMI could never enjoy that simplicity.
It can often be cheaper to install and run SDI over RG6 and use low cost SDI to HDMI or HDMI to SDI converters such as AJA or Blackmagic at the point of use such as a TV or AV switcher.
So, I dont know if you do professional events or are trying to get into it, but save yourself lots of expense and pain, just skip HDMI cables unless they are short ones going from a converter to a camera/switcher ect.
The place where I think armored fiber HDMI or Display port cables make sense is for permanent AV installs. If you have a monitor wall, or digital signage application but the playback device needs to be in a different part of the building, running fiber HDMI will offer the highest quality video without some of the "lossless" compression of HDbaseT or a network protocal like NDI. In my office at home I run several SDI feeds, as well as 3 Displayport over Fiber feeds so I have the lowest latency highest quality video for my computer monitors, and then my TV multiviewers can use the lower cost SDI because they dont need to be more than broadcast quality.
References:
en.wikipedia.org
en.wikipedia.org
en.wikipedia.org
