Cover and concealment are NOT interchangeable in the real world. Thinking that they are has, in fact, gotten lots of people killed. To put it simply, cover is something between you and the enemy that will stop bullets, concealment is something between you and the enemy that blocks visibility. If you forget this and treat concealment as cover, some clever opponent may figure out where you are and shoot you through whatever you're using as concealment.
3e uses these terms in this way because the designers adopted them from real life.
Depends on what the wall's made of. Drywall, plywood, or aluminum siding? Concealment. Double layer of sandbags or steel reinforced concrete? Cover (against small arms, anyway).