Oh I see difference...
But while lucid dream feels like dream with adition of lucidity, OBE feels diametraly diferent. And, while there are quite difference in "feeling" of myself while projecting to diferent dimension, they contain similarity, consciousness has base state which is similar, but from astral, through mental , budhic... and I don't know how to name others, it needs finer and finer control.
Technically all of these experiences count as OBE, however, in popular culture OBE is like remote viewing or becoming ghost like and exploring this physical world (truly or in a dream state).

AP, while technically also a form of OBE, implies experience weirder that the physical world. Any one of many possible experiences in what seems like other dimensions.
That is why I constructed the poll the other way before. But the poll has other options now so hopefully no one mentions anything about it being wrong. Although I appreciate the feedback.