I'm a huge Sony fan and I've never liked the colors out of my Sony bodies (A6000, A6300, A7II, A7RII). I think it mostly has to do with skin tones (which are often in my shots), Sony's tendency to lean towards green/yellow compared to say, Canon leaning red, and poor auto white balance. Your portrait shots are good examples of this. They are beautiful shots, but simply not the colors/wb I prefer for portraits.
In fact, I plan on making a thread this weekend about these issues and easier ways to overcome them. I've tried custom LR profiles, the colorchecker passport, tweaking hues, using the LR WB dropper tool + further tweaking.
On many shots I can never get the skin tones (and overall colors) I want. This is both indoors under artificial light and outdoors. Sometimes the results are so poor that I wonder if I inadvertently have some setting on (like a -10 in camera WB). But all my settings appear to be neutral and I only shoot RAW.
I've found that certain software/profiles make a huge difference so I think it has a lot to do with the software's RAW file interpretation. As an example I've found the Fuji S5 profile on DxO Optics Pro 11 to make a substantial difference in the color rendering, making skin tones look closer to where I want them (neutral) but unfortunately also making the overall scene a bit less contrasty and vibrant than I desire.