ProRAW is not ProRes. ProRes is a movie format. ProRAW is a stills format encapsulated in DNG - https://support.apple.com/en-gb/HT211965 - I can't find a full published spec from Apple, just consumer guidance.
If you start with any RAW file & an app that cannot read the camera-specific parameters used to generate the embedded JPG, then it's always going to be a lot more work to get back to the jpg look, no matter the source.
I found an article detailing one of the aspects ProRAW can carry - Semantic Segmentation Masks [this, amongst other things will be part of what enables it to do variable blur portraits].
Outdoor Photographer - What Is Apple ProRAW?
One of the computational features I mentioned was called Semantic Segmentation Masks. Envision an image with a few people. Behind them is a lovely landscape and a sky filled with clouds. The iPhone instantaneously differentiates each element in your frame, or “masks” them off, to help balance tones throughout the frame during processing. Such masking data is now stored with the RAW file thanks to DNG 1.6. Figure 2 helps visualize how a segmentation mask would be applied to a landscape.
Segmentation masks and how we edit them are destined to evolve, and part of this evolution now involves how third-party software companies, like Adobe, decide whether or not to incorporate such computational features into their products, which could drastically change how we develop our images. I already have fantasies of a future version of Lightroom Classic offering me the ability to access segmentation masks so I can develop very specific sections of an image without using the standard localized correction tools such as the Gradient Tool, the Radial Filter or the Adjustment Brush. So, ProRAW is an exciting new format, but it’s groundbreaking for what I know is coming in the future.
This makes it look like the best place to edit these at the moment is still Apple software - the phone itself or Apple Photos on the Mac. For such as Portrait mode, this lets you adjust things like the subject lighting & background blur amount in post.
Some terrible selfies, half-awake, unshaven, 'big nose, little ears' as a bad example…
This is all done in software [& can be changed at any time after the fact] - here directly on the phone & screenshot - as an example of how this layer separation can be manipulated. First on the lighting of the subject, second with the blur in the background.
No blur [f/16]
Maximum blur [f/1.4]