From within your blog you link to an image.
I think this is the program you use
https://support.google.com/blogger/answer/41641?hl=en
Go to "insert an image...."
As you can see you can select an image from anywhere. If you select the image with exif you showed before than you might get that same image with exif.
When you upload an image to Flickr or Google, several examples of that image are stored. In my Flickr page tat are 11, all different formats. But only ONE has the exif, that's the original.
I give you an example. The same image, 1600x1064
Look at the adress of the image. The o stands for original. The h for a specific size
You see what I mean?
George