That is incorrect, you are anonymous at the time of account creation. They used a 3rd party service that just checked to see if a phone number was active. Steem or Hive do not have anyone's phone number linked to your account in anyway or have a way of idenfying you from that phone number. Now if you are browsing steemit.com or hive.blog without using a VPN your IP is idenfitied though.
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I did not knew that they used a third party service for that.
Thank you for the correction and for detailed description about it. It is good to know that they do not have my mobile phone number.
Nowadays I am not using VPN (I used it in the past), so my IP address is indeed identified.