This seems to be what most shooters do with "duds" at my sportsmans club range...mostly I find them on the ground while scrounging the spent brass, but some make it into the trash cans, which I will occasionally empty, since I may use the range more than most (our range isn't very busy).
Now, I'm not gonna preach that you should or shouldn't trash 'em.
Myself I pick 'em all up and save them, most are factory loads, After a police "Qual" shoot, they will be 5 or 10 loaded rounds I suspect from clearing chamber (no dents in primer), these usually have water damage as our range is in a swampy woods. While I will sometimes disassemble them with a inertia puller, mostly they sit in a box near all my sorted range brass of calibers I'll never use.