늦잠을 자다 meaning/connotation
In English to oversleep is bad. If you oversleep you woke up later than you wanted to and may be late for work. If you lie-in (or sleep in as I believe US English speakers say), it's something good. If you had a lie-in you didn't have to go to go anywhere or do anything, and can enjoy the extra sleep.
하지만 한국어로 똑 같은 말을 말하세요? (In Korean, do you use '늦잠을 자다' for both situations?)
그리고 'I went to bed/sleep late' 말하면 '늦잠을 자다'도 말하세요?