Scissors have done their job and all looks well:
On this Facebook group people also recommended changing his bedding to Carefresh Crinkles and brushing him with a toothbrush if he would tolerate it, to prevent future tangles. Promptly ordered Crinkles online and bought a toothbrush today.
Will be interesting to see what he thinks about the toothbrush when he isn't getting bribed with a big piece of red bell pepper. :-)