I loaded the Red Christmas Lights image on my box quickly and I get out of the box arguably less offending results:
I exported the R3D image from RED CINE-X PRO as Ungraded RWG EXR, loaded it in Nuke with the Input - RED - Linear REDWideGamutRGB IDT. This is the upper-right image, bottom right is with a simple 20% red desaturation and ensuring the values are mostly positive:
For reference, those are the chromaticities of the image:
Cheers,
Thomas