One more point to add is that a flat bottom airfoil will amplify this tendency. That's because as the nose rises in response to the gust, the center of pressure moves forward. Of course, that is the kind of airfoil most trainers have. A symmetrical airfoil does not do this, so it's reaction to gusts is milder because the center of pressure doesn't shift as much.

The bottom line is still the same. Gusts coming toward the airplane will cause the nose to rise. The pilot must counter it. If the plane is nose heavy, the tendency will be worse.