OK, #1, do not use the tail of your climbing line. As convenient as it may seem, here are a few things to consider: Abrasion and wear on your rope, cutting a limb near where your climbing rope is, using the splice on that climbing rope on which YOU CLIMB.
On staying with the 'Do not use the tail of your climbing line to lower limbage' includes even when climbing on bull rope. 1/2" stable braid has been my mainstay climbing line all through the pre-11 mm part of our history. But when I climbed on 13 mm, I had no problem lowering stuff here and there with the tail. My problem there was, I climb DbRT, meaning both ends of the rope are on the ground, and I climb the paired lines the same as SRT. I need 20 meters of tail to lower a limb 10 meters, remember, the thing I'm trying to show you is a 2:1 Z-rig, which is a basic and fundamental technique in rigging. Youz guys are climbing mostly DdRT, which means your entire rope below you is tail. Mighty tempting to lower moderate limbage with that. Don't.
Belaying a limb out of the tree and retrieving your rope from up in the tree has an advantage of this; you are able to lift and jostle the limb if it gets hung up. If it's sorta heavy, or you need to hoist it up a ways, you use the 2:1 leg of your system, and the limb, to your grip, is half the weight of the limb. If it's not so heavy, grab both lines for a 1:1 pull.
See why you don't want to use the tail of your rope? What IF you used the tail of your rope, your limb gets hung up in limbage below you, and you have to abseil down and silky it apart or something, can you see how having a hung limb on the climbing line that you wanna climb on is a problem. On your friction hitch system, you can't go down unless the limb comes up. On my system, I can just pop down and wrestle with the limb, but it's still a pain, and rather dangerous. Just know this, and agree to USE A LOWERING LINE to lower limbs.
Maybe now I can show you the techniques.