Well Doc, I think you're right and you're wrong. Lips and anus are same type of epithelial tissue - so that's correct.Well, she's puckering her lips because who knows.
Additionally, on a technical note, lips and butthole are composed of the same type of tissue called transitional epithelial tissue.
#facts
But transitional epithelial is urinary tract - bladder, ureters, and urethra. Lips and anus are stratified squamous.
Aside from the pathologists who may lurk here, it's probably a safe bet that nobody really cares.