I had a hilarious time yesterday. I kept failing to make one of the jumps, so I would grab the side of the cage and slide all the way down it and start falling again and scrabbling to catch something else to avoid splattering on the ground. On the third try, I finally made it, but halfway through, I heard my bear fighting something and my horse neighing. So when I got to the ledge, I ran all the way past other enemies to the boss room and found my bear fighting the boss and my horse running around in panic. And then all the enemies I ran past swarmed in behind me, so the three of us had a proper Leroy Jenkins moment 
All in all, I haven’t had any serious issues with the Volary of Jhil, unlike the Volary of the Harpy. Holy crap, that’s a death trap right there at the beginning.
Those two tall trees that you’re supposed to climb down, the ones with the nests? If you’re trying to get on the bridge in the middle, make sure you aim for the spot without the railing. There’s an invisible wall extending above the railing that will make you go “can’t climb this” and fall down and, if you’re still going “WTF” instead of grabbing the tree, splatter yourself on the floor and die.