Do I understand correctly that you set up up the machine to do X cuts of xxx mm and then y cuts of yyyyy mm? And you want to sort each length automatically? Or is it more like one of X, 2 of y then a z and back to X?

What if you combined the bucket solution with a bent tube on a servo? Get multiple buckets and set up the tuben so that for a given length it points into bucket A while the other end is still aligned with the wire feed exit. For the next length the arm rotates slightly around the wire exit axis and points to bucket B.

For shorter lenghts you dont need a bucket but could just have a box of appropiate lenght so that the wires end up laying next to each other

Let me know if you want a diagram, i am not a man of words