Interesting that you're mentioning too light skies, this is actually something I've noted and disliked too. This is a common property, most profiles/cameras have that. In Adobe Lightroom / Camera Raw the reason is that their built-in curve desaturates blues quite much as a side effect. In DCamProf I've designed a new type of tone reproduction where this aspect can be more controlled.
Per default (in the neutral profile) the rolloff into the whitepoint is the same over the whole hue range, and desaturates a little slower than Adobe, so skies are a little bluer. In the neutral+ I've adjusted this to vary over the hue range. It's even a bit shorter in the cyan-blue-purple range, intended to target skies, which keeps saturation even better, and then elongated (ie the opposite) in the skin-tone range. For faces if you keep saturation close to clipping the highlights can look a bit flat, especially for high key portraits, so it's then better with a long soft rolloff into white. Skies generally don't look flatter as they are quite flat already in the first place.
I've noted that working with hues and adjusting them is usually the easy part, but much of the look sits not in hues, but for example in this rolloff property. Skintones are very sensitive to this.
Another trick DCamProf does is transitioning from a more RGB-based curve to a luminance based curve as saturation increases to very high levels. This can be seen in say red flowers where Adobe with it's RGB-HSV curve flattens out the tonality in the reds, while the transition into luminance indeed desaturates the highlights a bit more but instead separates color better. Capture One profiles, which overall are very well designed, seems to do something similar. There's much taste involved in profile design though, so there's not one single best, and as a profile is static you can't optimize it to work best in all situations.
It's super-interesting problems for an engineer like me, I like to work in this crossover between perception and technology. Unfortunately it's not much commercial potential in this type of stuff (I do this as a hobby), I think that's why we haven't seen any good commercial profile makers (except for reproduction applications), and thus camera color continues to be a hard-to-grasp mystery which photographers can't do much about, you get what you get. I don't think DCamProf with its command line interface will change that in any major way, but it's a small contribution.