well...I wish the EXIF data would show the histogram of the original photo!
The Short-eared Owl was probably shot at 5pm or so...and if you could see the original there is lighter colored beak/feet and a black background. I'd say that was lifted 4 stops in post.
The Snowy Owl - overcast day...grey...snowing lightly and late afternoon. I'd say that image is lifted 1.5 stops.
Anyway, if the exposures look good remember when I started processing these images (except the Snowy) they were what some would say "unusable". Even the Great Horned Owl was a jam of data on the left of the histogram (yes background is all dark that would help)...but my point in all of this is that you can raise images quite a lot in post...and do it better than Sony can in-camera. This allows you to forget about ISO and just adjust shutter speed in low-light conditions. I really prefer 1/2500 sec for flying birds...but the two owl flight shots I had to come down to 1/2000 to get just a bit more light to make the image usable...
Read others' accounts of shooting at a "native" ISO and then pushing in post...rather than shooting at 3200 or 6400 or some other high ISO and allowing Sony to do the processing in camera for you...Try it both ways and see what you think - with your own eyes.