Still ahead of me but I'll still attempt to be mildly contributive.
I think it is the ratio of blue in a beam of light that plays havoc with red tints. Blue absorption will produce dark color, or black meaning added slate color in the return image. Before your beamshots (pain in the neck [empathetic regards]) were posted I was going to say it would seem that the blue spike seen in the spectrum of the Nichia 083 would not be enough to cause a rendition problem when gauged against all that pretty 620nm/660nm. Remember the blue fin in your Surefire A2 spectrum shot? Not a problem.
Let's look at blood. The white envelope is a little blue because of the blue security pattern on the inside. The poster board is a creamy white. The objects are red ink, a bike hook, a drop of mostly dry blood and a drop of wet blood.
I'm still learning this point and shoot Canon SD 850 so sorry about the out of focus. Here's an unnecessary shot where the illumination is household incandescent diffused and bounced:
Here's direct sunlight through a window.
Here's an incandescent Welch Allyn 1499:
Here's a Malkoff Q5 using a Cree clear optic: I have another shot around here somewhere that shows the Q5 doing a little better.
Let's detune the color by moving the the beam to the side and invading it with a little 5mm blue Nichia:
Let's tune the color by moving the beam to the side and invading it with a little 5mm red Nichia:
When I look at the red cup in your shot using the Nichia 083 it looks just right. It looks just a tiny bit better than the outside shot which I believe you've correctly identified as being due to the light source being a blue sky.
Side note: I like the looks of the Sundrop quite a bit.
Back to collimation.
Wow. That's just really nice light management. Sure, there is a little separation of a small portion of dark red and blue but it appears that majority of the original spectrum is in the main beam. For image return, the important part, I'm still guessing that I'd be able to recognize Willy the water snake 30 feet away.
That baby doc is enthusiastic speaks volumes.
This is really exciting.