I use these and this brand. As low fuzz. Have for a decade and rotate out any that get chewed on.
Huts get jumped on like crazy. And I don't dispute the danger of the really fuzzy ones. That when you pinch you can pull all this synthetic fuzz off. Those can get wrapped around tongue and impact crop.
But so can any cotton rope perch, yarn like preen toys, fabric. Those mop like preen toys are so dangerous The biggest culprit by far are the rope perches, as viewed in crop dissection study with extremely graphic photos. Yet I never read of warnings on those. Any rope perches that are chewed should be replaced. If you have a parrot that really likes to chew those then they shouldn't be used st all. Crop impactions silently( mostly,) build up over time until causing issues or death.
i have one parrot who can not have rope perches in her cage, she will pick them apart in a day. Outside of the cage she leaves them alone.
I'm also getting the safer tiki hut for her. As she destroys every other kind of tent I tried.