Yes, the weave of your bedding does matter. Just like the material, it will affect how well you sleep at night, as different weaves offer a different feel and temperature. There are two main types of bedding weave, percale and sateen, and we've outlined the pros and cons of each down below.
Percale features a one-over-one-under weave pattern and has a thread count of 180 to 200. It offers a very crisp feel, has a matte finish, and is overall very durable. It also gets softer the more you wash and use it without losing any of its durability. However, this weave pattern makes materials quite prone to wrinkles, so if you like your bedding to look spotless, this weave probably isn't for you.
Sateen weave ranges in thread count from 120 to 1000, though a thread count of 300 to 600 is the most common. It uses a four-over-one under weave pattern, resulting in a very soft and shiny fabric. It's a great option for individuals with sensitive skin as it isn't as rough as percale weave fabrics. However, it makes bedding a bit less durable and the pretty shine fades with prolonged use. It's also a less breathable weave than percale, so it's better suited for colder climates.