I can re-produce getting there and ending up like that, as well as the "ear-piercing noise", but I can't re-produce getting stuck there.
Pressing the Spin key lets me drop down, and additionally, Sonic can use a Thok to get out of there too at the right angles.
At the wrong angles and/or when using Tails/Knuckles, trying to Thok/Fly/Glide will just snap them back to being a ball within one frame, allowing them to use their ability over and over.
(Also, due to the way you get back on the rope every frame, you only get to see the first frame of the rolling animation, not subsequent ones.)