How do you get the level sequencer to "keep state" and not jump back to the character camera?

Not sure I understand fully. Would you eventually want to jump back to the character camera at some point later? What should happen to the camera when the sequence is done? Should it just hold?

You could try calling Pause() on the level sequence player when it gets close to the playback position end (ie. close to 1.0). And then eventually Stop() when you want to resume control to the character camera.