Our cat Malcolm, age 17 1/2, enjoys being vacuumed, although he’s a bit camera-shy here. (My son is wielding the vacuum here.) Usually, he rolls around in ecstasy (seen briefly in the video), making sure every part gets vacuumed. He often presents his head to make sure his cheeks are groomed. When much younger, Malcolm would dash away at the sound of the vacuum, the door bell, any noise at all, but now he goes with flow.
In this case, it’s the soothing flow of air over his luxuriously thick fur, which, as you can imagine, is all over our house. We’re so grateful he enjoys this type of grooming.