Hello Jasper and welcome to the forum.
Your old timer sounds like a typical donkey losing his winter coat. I have 4 donkeys of varying ages and all, except one, look like old hearth rugs at the moment, not fit to be seen.
Mine never seem to lose their coats in the same way each year. I think the weather has a lot to do with it and the type of winter they go through. My old lady never gets her summer coat til the end of August, she looks stunning for about 3 weeks and then starts growing her winter coat again.
Creepy crawlies do not have to be in residence for donkeys to look like nothing on earth!