Imagine a spacecraft entered an orbit around the Earth whose perigee is low enough into the atmosphere so that it reenters and lands after a revolution, without having to perform a reentry burn. While this surely can't be called a suborbital spaceflight, I wonder whether this would count as a full orbital spaceflight respectively as a full revolution around the Earth, even if it may have entered the atmosphere just before it completed a full revolution relative to the stars (but did that during its further atmospheric glide flight or free fall).
The Space Shuttle lowered its perigee to a 165,000 ft (50 km) for reentry. If a spacecraft achieved an orbit with that perigee and entered the atmosphere after about a revolution without a reentry burn and would land back on Earth, would that count as a full orbital flight or something inbetween an orbital and a suborbital flight or would it depend on other factors?