Are there really any reasons to use it?

I've been breeding quite a bit lately, I had about 7 boxes full of breeding leftovers. Various pokes with 1-4 max IV and beneficial natures/abilities.

I wonder traded about 2 boxes worth, and I haven't really gotten anything remotely interesting. A few foreign pokes, mostly with shitty IVs, so useless. No pokes with hidden abilities whatsover, no shinies (of course) nothing rare, not even a starter.

The weirdest thing is that I get a bunch of lvl 1 (so obviously the result of breeding), that don't even have a single max IV *or* the appropriate nature.

So, I'm assuming there's an overwhelming ammount of kids mindlessly breeding pokes not even trying to actually make them any better...? Or just trading random shit they find in the wild.

Is there any reason to keep going? What should I do with all those decent leftovers, release them all? What do you do with them?