The LUTs you linked to don’t even specify what their intended input colorspace and transfer function are… They mention the A7S3, but beyond that… S-Log2? S-Log3? S-Gamut3 or S-Gamut3.cine ???
You would have to somehow convert to the appropriate gamut and transfer function, or chain your “look” LUT after a colorspace conversion LUT that converted from something easier to achieve in dt’s pipeline to whatever your “look” LUT wants, then use that chained LUT in dt.
I’ve been basically doing the exact opposite of you - generating HALD CLUTs by processing frames from a video in RawTherapee. In my case, I export one frame from video, assign an ICC profile that corresponds to S-Log2+S.Gamut to it, edit it, and then export with an ICC profile that corresponds to the desired output colorspace/transfer function. Some discussion of that kind of flow can be found buried in Converting S1H raw files to V-Log gamma
Edit: To clarify, I do the editing with a real image, then apply those edits to a level 16 HALD CLUT tagged with the same ICC profile.