This is usually very flat bright light. I suppose this is important for archiving the steps, but it preserves a pretty lousy interpretation of the piece. I would not consider using such a tape as a booking tape or to apply for grants with. Instead, in certain situations, if possible, I sometimes request a Dress for Video, with the lighting designer present. We give the lighting designer a video monitor and have them adjust their levels according to the camera's contrast ratio and sensitivity, but still trying to keep the lit shape of the piece intact.
Theaters still using manual lighting boards are in luck as adjustments can be made live.
I believe with computer lighting boards it's a little more difficult, and there needs to be time for a costumed walk through and level adjustment before the actual run through. While it's nice to have the lights correct, there is still something to be said for live performance. The performers usually respond differently to a live audience than to an empty theater. I'm always a little against putting all of one's eggs in one basket. It's not rare that one particular performance during the run was way above the rest, and it's not always predictable which performance it will be.