Another, but more specific, Color Management question
I know that Color Management has been done quite a bit in here and on the net as I've read a number of posts and threads, and although I think I may almost have gotten it (finally!), I have a couple of questions.
This is my set up:
- I have calibrated my monitor using a i1Display device. That created a profile called 20190119_S1.icm.
- My camera is a Sony A7iii. My understanding (kind of) is that the Sony "embeds" the color profile AdobeRGB into RAW stills that it takes. This is an important point to my question as this could be a misunderstanding on my part.
- In Photoshop, I have set my Color Management as follows (using my 20190119_S1.icm calibration):

- When I check, the Color Settings are "synchronised" across all Adobe apps, most importantly (for me) that means Adobe Photo Raw.
My Questions:
- Have I configured this correctly to get consistent colors across the board? The reason for doing this set up is that I find that at times, exported photos are slightly darker with more crushed shadow detail than in the original edits.
- I must admit, the point 2 I made above above about the Sony a7iii embedding AdobeRGB into the Raw photos seems wrong to me as I though Raw photos would have no "color settings" as such. But the reason I assumed that the camera was stamping Adobe RGB into the photos was that even with color settings synched across Photoshop and Photo Raw, when I open a Raw photo in Photo Raw and then immediately open in Photoshop, I get this warning:

So I was guessing that the Adobe RGB must be coming from the original photo.
Assuming I want to work throughout the entire workflow with 20190119_S1, what should I chose when I get the above warning? - When exporting my photos to .png or .jpg, I seem to have two options: One is to "Convert to sRGB" and the other is to include the "Embedded Profile". From my tests, it seems that in order to preserve the same colors and tones from the original edits into the exported files, I should not "Convert to sRGB" (causes the picture to darken and crush shadow details), but should instead use the "Embedded Profile" option. Is this correct and if so, is there a way in Photoshop to default to this (no option for "Embedded Profile" in Edit -> Preferences -> Export).
Many thanks
