Optical fibre is fucking fragile as all hell. You aren't going to see appreciable signal loss with an antenna with much better weight savings not have a spool of cable either on the armoured vehicle (minimal if on the vehicle) or the drone (undesirable). Not to mention the mechanical issues associated with the spooling.
Did you watch the video? He's wrapping fiber optic cable over a 10mm mandrel with no problems and it's causing no loss. The video is 10 years old at this point too, we've probably progressed further with technology.
Now I’m imagining a guy on top of a tank in battlefield conditions trying to do an emergency fuse repair on a fucked up pigtail while cleaning the glass with those fancy fiber wet wipes and ranting about how there’s too much dust.