The titles of these two articles in Chapter 8 are a bit misleading.
810 is radio and television equipment (Antenna Systems)
820 is Community Antenna TV and Radio Distribution Systems (Coax)
I have installed 50+ antennas outside buildings for SCADA systems so worked thru the rules to understand them
Both are concerned with fire and lightning protection. Art 810 would apply to your antenna. If your antenna is outside it is exposed to lightning. With the antenna installed on RMC, a lightning strike will follow that RMC to your equipment.
What the code requires is a bonding conductor 810.21 run in a straight line, to a GE, see list in F 1 or 2, your grounding electrode must be connected to the structure GES. See 3 for no IBT.
I would not install the antenna on RMC, even though that looks nice. Hang it on the building, run a short length of carflex into the building, then bond the antenna to the GES. Or stub out and install a weather head and loop to antenna
Your POE cable should have a impulse suppressor in line, where the cable enters the building with a bonding conductor that connects to the bonding jumper that goes to the GES. See 805.90. I am not sure if 725 applies, but Don is seldom wrong. But good practice requires protection from lightning
The rules in 800, 805 are newer, and the rules in 810 and 820 date back many years. And its all about protecting outside wiring and equipment and wiring from lightning and high voltage
Most antennas I see, like 99%, on schools, fire stations, pump stations, dwelling units are not installed per code...I actually had a really great code change accepted to Art 810 about antenna grounding, where that article didn't have a reference to 250.8 meaning you could use a hose clamp for connection