Is there a way to bake the camera shake values to the keys in sequencer?

Yes this is true. If you bake transform the camera shake you only get the movement of the camera along the rail with no shake (my camera is on a rail rig) and when you bake transform the transform track you only get the rotations with no shake. I am also trying to find a solution but apparently it is very difficult. Even if you cannot bake it, at least it would be useful to have the control over the seed of the perlin noise.