It seems odd to me that the same color temperature in both apps is rendered differently. Why would that be?
because for example Adobe uses certain matrices inside .dcp profile to calculate WB and based on how the profile is created you can have variations even with other .dcp profiles for the same camera model (but software like DCamProf can at least ensure that there wil be match between OEM profiles, from Adobe, and your profiles... I do not remember how I created this profile, I took just some intermediate profiles that I am still working on, as my A7R2 is eternal work in progress, and I am too lazy to check what I did and compare matrices, as it is not the final profile anyways)
Different camera profiles is almost expected.
no, no... what is expected is the identical profiles in DCamProf sense
... and those 2 are different... C1 profile was a simple matrix + TRC created with rawdigger and makeinputicc/argyll and with TRC replaced by C1 "transfer function" and converted to LUT (AtoB0) with cieXYZ PCS to enable C1 color editor (not that I am using it - but just as an experiment)... Adobe profile as noted above was some old intermediate step and made with DCamProf... so they are different different, but in the end I hope to get to the the single profile for both, then the differences will be almost zero... here you see different hair and skin - that is because they (profiles) were created differently (with different software building the core)... with DCamProf was the native 3D LUT with PCS = cieLAB, etc