It is difficult enough to get the photos from the Yearbook company where they are named with the student ID number so I can get them uploaded to Core, Getting them into every other system is a nightmare. Please get the integrations to share the contact card photo.
The Users extended endpoints also deliver a url for the profile photo that other systems could use to pull in the photo.
The API has the ability to upload a photo for a user as their profile photo. The User create and User update both have a profile_photo object. That object is set by the new Attachment (upload) endpoint in Education Core API.