Eyelid cleansing oils are the oil based corner of lid hygiene. Where a foam or a wipe works with water and surfactants, an oil works by dissolving what is already oily: makeup, sunscreen and the residue that gathers along the lash line. Both products in this category are marketed as all natural, and both are applied to closed lids.
Two oils. The Purifeyed Eyelid and Face Cleaning and Hydrating Oil comes in a 2 oz bottle and is intended for the face as well as the lids, so it can replace two products. The We Love Eyes All Natural Tea Tree Eyelid Cleansing Oil is a 30 mL bottle and, as the name says, is built around tea tree.
The application is what changes. An oil is usually worked along the lash line with a cotton swab or a fingertip rather than swept across the whole lid, which gives more control right at the lash roots and leaves less product on the surrounding skin. Some people use an oil as a first step and follow it with a foam. Others use an oil on its own. Wipes are still the easiest format to travel with, and sprays are the fastest, so an oil is usually chosen for control rather than for speed.
Tea tree or not is the first question, and the answer generally comes from your eye care professional rather than from the shelf. If you wear eye makeup daily, the oil that doubles as a face cleanser saves you a second bottle. If your skin reacts to fragrance or to essential oils, read both ingredient lists before you buy. Whatever you pick, consistency matters more than format.