|For me, wraps of electrical or any other tape there would be every bit as annoying as the hook keeper.|
But as they said, just cut the thread ON TOP of the foot of the keeper, and it will peel off along with all of the associated thread, which by some magic happens to be on top of everything else, so after the keeper and its thread are gone, what is left, will be a tad scrungy, and a tiny amount of Sally Hansen's "Hard as Nails" (with NYLON in it) will snazzy that up really well. Use the nylon stuff, because it isn't "as hard as nails" so it flexes.
I used that HAN/Nylon to glue a very expensive loud speaker cone back on it's rim flexibly, with multiple thin layers set up between layers, and it is as good as new, and sounds the same after about 15 years since I patched it.
I actually blew the cone off its rim when I started to play the video of "The Battle of Britain" with the amplifier gain turned fully up, and when that Spitfire zoomed down the road over the retreating French folks, it took out my speaker and a couple of windows.
Good as new now.
Incidently I never ever touch my rod anywhere above the cork handle, so a hook keep isn't even in my way.