The advantage of Airtable is that it is extremely flexible. The disadvantage is that YOU MUST customize it to your needs.
Also, as it is a database manager, same features as Export Contact does not exist, as not all users will need them.
You can paste the full profile URL, or even add a Formula field that automatically builds it.
You send a Record, Airtable does not know what kind of items you will store in them.
You can export as CSV, that you can import in some contacts manager. Also, it is easy convertible to other formats.
You can add as many Attachment fields as you want, maybe a main photo and other field to other photos. Or even other kind of attachments, like a resume for instance.
You can’t move other fields to be the Primary Field. You could customize it to other field types, but attachment is not supported. Anyway, in many places at Airtable the images are shown.
I recommend you to check the guide: https://guide.airtable.com/
Also, there are several CRM templates that you could base yours on: