The former is just a matter of aesthetic preference. Where skeuomorphism gets dangerous is in the latter case.
A perfect example is the horrible address book in OS X. It looks like a book, and therefore the user expects it to function like a book. Yet, it doesn't. It's this area of interaction design that has run afoul at Apple.
Neither form of skeuomorphism is inherently bad, but it's easier to shoot yourself in the foot and ruin the UX when you move from decorative to functional.
If you can render the next page faster, then why fake a 'page turn' that takes time to animate.
It's the very definition of skeuomorphism.
Speaking personally, the iBooks page curl is one of my favorite features of any iOS app, period.
Maybe this is one example of skueomorphism done right, at least from my point of view. An anachronism that helps to make the user feel comfortable with the application, even though it isn't strictly necessary.
Ala swipe to unlock, or elastic scroll-ending. Use affordances, rather than limiting real world analogies.
Skeuomorphism is when a product imitates design elements
functionally necessary in the original product design, but that
becomes ornamental in the new product design
Examples: leather/paper/textile textures, hyper-realistic shading, analog controls/displays.Take for instance some of the apps on iOS. The have book bindings, rings, shadows, etc.