May be you prefer the sound of a little second harmonic distortion, nothing wrong with that, adds a little ease to the presentation if needed, and may cover the sound of the Burson a little, that's what tube amps do.
But if everything is spot on in the system, then the Burson after the Lightspeed will be a more precise presentation, and give warts and all, and not be kind to bad recordings, and let the sound of the Burson through as well. This could be a good or bad thing, I'm not sure how the Burson sounds, but anything active has a sound signature of it's own.
Cheers George