Well Kayla you answered that question for me.
My brother is presently incarcerated for some problems with hitting the bottle too hard after a nasty divorce and I send him some cigars every now and then.
They don't have alot of time to smoke so he tells me he breaks them up and the re-rolls them, basically like joints, so they can have a quick smoke.
He's never smoked cigarettes or cigars but I guess with time on your hands... and he doesn't like the rolling cig tobacco and so I've sent him stogies and he's also tried some pipe tobacco but cigars seem to be the best for these re-rolls (as he calls them).
So one day I tell him I sent him some smokes and he says he doesn't want to take my good cigars - "what do those companies do with the broken cigars they get in" ?
Now I have the answer - they reside in Kayla's humidor !
So to answer your original question - I'd send them to my bro. I haven't had many broken yet, but I have enough other sticks I've tried and not loved so I always have stuff to send to him.
Why'd you have to mention those At Ease you sneaky devil - you know that we are all going to go check those out now.........