Hi, Florian,
well, first thing.
Your "normal" users all are created by admins.
So all of them should be aware of your data protection rules.
If they do not keep to it, "Abmahnung", "Personalakte",...
Second:
There is an access control, I think you saw it already.
But what you desire is not available in LS, but as IT staff, you could create a trigger in the database to do something like that.
In the table "[prefix]_surveys" you find all interesting fields:
"anonymized"
"ipaddr"
and so on.
And the "owner_id", which shows, who created the survey.
IMO a trigger "before insert" could set all fields to your desired value.
Joffm