Is a bed without a headboard seen as cheap?

When I've slept on a bed without a headboard, my pillow tends to fall off the end of the mattress as I push it around when I sleep. The headboard acts as a fence to keep the pillow on the bed. To me, a mattress sitting on a box spring held up by a frame doesn't look so much cheap as incomplete. But since the bed is typically out of sight in a bedroom, people generally don't sit around gazing at it.