I've attempted some bino-scoping before (taking photos with a smartphone through binoculars), and found it very difficult. I take my hat off to you for getting those photos. You would get some outstanding photos with a decent camera, I'm sure! Do you get the bearded vultures/lammergeiers in your area as well, or only the griffons?
regarding the presence of CA in your image - to be honest I think taking a photo through your binocular, especially with a smartphone, often does not show its optical qualities at all well. The moment you add a camera you bring in another completely new optical train that has its own aberrations and other issues. Also, binoculars are designed to look through, rather than to have photos taken through them - an important distinction because the requirements for each are different. The human eye is a far better instrument in terms of autofocus and sensitivity than any camera (that I've ever seen/used anyway). I've been able to directly compare photos taken at the same targets I was observing through binoculars on a couple of occasions, most recently hobbies hawking dragonflies over the reedbeds of RSPB Rainham last weekend, and was really struck by how much better what I saw through the binoculars looked. The only advantage a camera has (albeit a great one) is that it can record images.