Some companies use the terms, “easy-care” sheets because they have coated them with chemicals to make them less prone to wrinkling. This can be a very cheap process, and what happens is that after a few washes the coating starts to come off and the sheets will wrinkle, pill, and shrink.
Beware of this kind of marketing and always opt for a well-known, quality brand, such as Frette, and the laundering and longevity of your sheets will always be better.