Yes, we've all experienced this.  Some more (cats) than others.

I just changed the sheets.  Persia didn't come charging in until I went to
put the top-sheet on.  I was still trying to figure out which way is UP and
flipping the sheet out in all directions looking for the top.  She dove
right in to help me by digging a small pile in the middle of the sheet :)  I
finally figured it out and flipped it the right direction.

Of course she immediately dove under the sheet and started swatting at my
hand.  I engaged in some play-time with her, touching her on her head.
She'd squeak and bat at my hand and play-bite me.  As I was pulling on the
pillow cases from either side of the bed, she heard the sound and crept
towards that side - BAP at the pillow.  I bapped back at her and again the
squeaking sound and the swatting and play-biting.  After I got the pillow
cases on she scooted out from under the sheet, looking wild-eyed, and zoomed
off into the living room.  Major case of the zoomies ensued and I chased her
around for a few minutes before I put the other sheets and the blanket in
the washing machine :)

Jill