It is the case in MSFS somehow. In real life the center of gravity is located in front of the center of pressure, at least in the normal flight envelope creating a nose down moment which is compensated for by downforce on the horizontal stabilizer. This is no different than a small GA aircraft. In MSFS this is completely reversed as can be seen in the dev mode.
It would be more efficient to have the CP located in front of the CG with an up force on the horizontal stabilizer, unfortunately it doesn’t work like that as this would cause longitudinal static instability.