Hi.
Yes, you easily have loose strands, especially if line-ends are wrapped with copper wire. I use Kevlar and CA glue for wrapping, it helps a little. (of course, that can cause problems with US rules, I guess) Also, don't use the 4" reel or at least modify the the reel so that it doesn't cause a sharp bend in the line near the wrapped end.
It's also possible to get loose strands when wiping the lines clean. I never clean them. L