Cross Scene Camera Switch

I have an animation set up with two different scenes that are combined in the Video Sequence Editor. In the second scene I have two different cameras and the active camera is changed using markers. When I run the animation while in the second scene, the cameras change like they are supposed to. However, when I run the animation in the first scene (which is where I have the two scenes set up in the VSE) the cameras do not switch. I tried linking the cameras in the second scene to the first scene and adding the markers in the first scene, but that didn’t work. Does anyone more familiar with the VSE know how to fix this?