Do your cats like "covers"?

My little female cat has gotten spoiled. We’ve covered her up several times when she was curled up, just to be funny, and apparently she likes it so much that she pretty much expects it now. She’ll hop up on my bed, snuggle down right in front of my pillow, then she’ll meow until we give her a blanket, LOL! As soon as I give her the covers she wants, she starts purring and licks my hand. It’s actually pretty adorable…

Anyone else have a cat, or even a dog, that prefers to sleep with covers?