I guess I never gave it much thought. I don't use starch either. Good thing I LA my own quilts, and so far (knock on wood) I've not had a problem with around 60 quilts done.
i do take my quilts outside and give them a good shake before I put them on the LA - to help knock off the loose threads. Maybe it helps that I prefer to use smaller pieces, so normally the only time I'm dealing with longer loose fray threads is when I'm putting on the binding.