But first check the electrical plugs of the various devices attached to the tv line.
Grounding an antenna in attic.
It doesn t support what you want to do.
Stick to the building code.
There are very specific requirements for grounding an antenna both via mast ground and a shield ground.
So there isn t any ground from the tv either to bleed off any voltage that might pass through the antenna.
The mounting rod is insulated from any of the active reception parts.
Exterior antennas must have their mounting rod grounded to provide electric discharge in the event of a lightning strike or static accumulation from other causes.
Try to keep your ground wire runs as short as possible and avoid making 90 degree turns or bends.
You should therefore strongly consider grounding your attic mounted antenna by attaching a grounding block to the coaxial cable to shunt off excessive leaked current.
Air movement in your attic should not pose a problem.
From your description it sounds as if you may create a ground loop which may cause problems throughout the house.
Securely fasten the grounding wire to the side of your house using staples or other zip screw type wire clamp suitable for the job.
Then on a separate lug on the bussbar run jacketed stranded 2 ground wire outside and straight down the side of the house to a ground rod sunk at least six feet below ground eight feet would be better.
Run a length of 6 jacketed stranded ground wire from whichever you installed there directly to your bussbar.