Yes, you are right, they receive from that company wallet ID, and other creditials. They tell me also receive notifications from that company about BTC price changes.
Wallet ID reminds me of blockchain.info (now blockchain.com) however their web wallet was setup during 2012 and the buying service was by the end of the same year. They aren't an autrian company either but
I see they had sofort banking during that time.
You can find how their wallet ID/Identifier looks like back then at:
https://bitcointalk.org/index.php?topic=40264.0