I have learned to flop the bales over so that the knots are on the ground before I pick them up. Makes it much easier to pull the stings out, and also I am able to get up on top if the strings are frozen to the bale.
Put them on their side, you can pull the strings without any bale to ground resistance, and can go around them if need be to get them loose. Cut the twine right by the knots, keeping the knot on the "long length" on that side of the bale, take the knots all together in your hand to the other end of the bale (so you've got the twine off of one long side and one end already), and then pull. If you store them on their side, you won't have any frozen area where the strings are
. This works great when they're on the ground on their side when removing the twine. not so sure it'll work for you on your setup though... you have to get them all the way up onto that bale platform before removing the strings. So... do you have to climb up onto the bale when it's on that platform then to remove the strings?
What if you removed all but a couple, once you've gotten it on the back fork? Round bales would hold together without the net... squares will fall apart without the twine. Easier to remove once they've been lifted off the ground. That's how I do mine. On my unroller, I can cut the net on the backside, pull it over the top, and then just pull... the bale spins as I pull the rest of the net off the bottom of the bale.
We paid around 20 grand for it, and this year we added the chute to feed into the feed bunks. I tried without it, but had to get way to close to the bunk without the chute; it also didn't go into the bunk all that well.
About what I expected... but alot more than what I've got into my homemade bale unroller... I take two bales at a time with me to the field too, one on the unroller on the loader, and one on the 3 pt. bale carrier on the back. Cut the net off both at the same time once I get to the cattle, with both up off the ground. Then just unroll the first one; drop the second, turn a circle with the tractor and load that one onto the unroller and go. NO MOVING PARTS, other than the simple hydraulics on the 3 pt., the loader, and the width adjust cylinders on the unroller. Nothing to wear out. AND, only one self-contained unit the length of the tractor to maneuver, or to have room for in the shed. Obviously it won't feed into a bunk though.
Here's a pic of it from 2 years ago, with my son at the controls. I've got it mounted on my bigger cab tractor now. Unrolling about 240 bales a month this year so far. Width adjusts hydraulically so I can unroll any size round bale. I modified the loader with a "skid loader quick attach" system, for quick easy changes of attachments.