There is still a lot of confusion here.
The input profile is the only profile that you assign in the literal sense: you choose how you want to interpret the input pixel values. Is your source encoded in sRGB? Then assigning an sRGB profile as your input profile is the only reasonable thing to do. Assign a different profile and your image won’t look right. Is your source a camera raw file? Then you need to assign a camera specific ICC or DCP profile to get your colors right.
The input profile converts input values to the XYZ reference color space, and then, usually, immediately to your working profile. There is no way to ‘assign’ this profile. The working profile is a large color space in which you can safely do your (non)linear image editing. A large space, like ProPhoto or ACES AP0, gives you plenty of room for (extreme) edits to your image, without causing color clipping or banding (assuming you work with floating points). Importantly, many image operations (edit: not all) require a linear profile (i.e. TRC with gamma = 1.0). Using a different gamma in your working profile will cause unexpected or undesired effects. All working color spaces in RawTherapee force a gamma of 1.0 (in other words, you only choose the primaries).
There are some caveats like @gaaned92 and @jdc point out: some tools are linked to the shape and size of the color space. That is simply how some operations need to be performed. The choice of primaries therefore influences how these tools work. That is why changing your working profile after you finished an edit, is generally a bad idea and may change your colors significantly. Simply pick a large enough color space when you start and then don’t worry about it anymore. Chances are you will never encounter any issues while editing.
Finally, you can choose an output profile. This profile should be determined by your intended medium. If you go for print, pick a printer profile. If you go for the web, pick sRGB. When there are differences in the gamut of your output and working color spaces, some gamut mapping needs to take place. There are multiple ways to do this (perceptual, colorimetric, …), which all slightly change the final look of your image. But this is the only function of the output profile.
Then onto the DCam profiles. If the profile is large enough, then sure, you can use that profile in place of ProPhoto as a working profile.
Holmes’ claims about “better perceptual linearity” with his “proprietary tone curve” for a working profile is complete nonsense. That is not the point of a working profile at all. You may want to do that for an output profile, but then the question is: why do you need such a large gamut in case of DCam3/4/5? Your intended medium probably doesn’t cover it.
So my main claim here is: anything that applies a specific look to your image (deliberate changes in chromaticity, adding of a tone curve) should never be done through any of these profiles. Unfortunately Holmes disagrees with me 