"I can't imagine what a cat, able to cause hundreds of pounds worth of damage, must look like."
I've had cats for most of my 48 years, and I now know exactly what such a cat looks like. If I could, I'd post a pic. She's a very small, getting bigger every day, tortoiseshell kitten. Her hobbies are climbing walls, and regularly pooing outside her litter tray. At some point, I am going to have to replace the wallpaper in my kitchen and one bedroom because she has clawed it to bits. In a few months, she'll be an inside/outside cat, and then I'll get rid of the litter tray, and replace the carpet which has been getting pooed on. So, yes, hundreds of pounds.
Rather less expensive is the damage an older, black and white cat, has caused to the lower part of the walls either side of the back door, which he has stripped back to the plaster board. Oh, and he also managed to remove a section of skirting board.