With a single-phase liquid it sits below the bottomhole pressure by about the hydrostatic head of the column, less the friction when the well is flowing. With gas mixed into the liquid the column is lighter, so the same bottomhole pressure supports a higher pressure at surface. Gas lift uses that fact on purpose.
A flowing tubing-head pressure is the value while the well is on production. Shutting the well in lets the surface pressure rise toward a shut-in value as the column segregates. Neither number is a bottomhole pressure until the column between them is accounted for. The choke is usually downstream of this gauge, so beaning the well back raises the tubing-head pressure.