In Vault 3, the lockpick screens I encountered are covered by a door panels (the ones near the dining room)
When I took damage from traps leading up to the NCR hostage, a split second before loading into the room, the body damage pip-boy screen would show up. The hack screen would be completely invisible when attempting to hack it. Stepping out of the room an healing then coming back solved the problem, but this somewhat doesn't make sense.