When you joined SecondLife, you agreed to abide by the Linden Lab Terms of Service, commonly referred to as the ToS. Whether you read it or not, as soon as you accessed SecondLife you became bound by the ToS.
So any disclaimer you have in your profile is meaningless. You can contact Linden Lab to verify this if you wish.
Section 4 of the Community Standards states this:
Residents are entitled to a reasonable level of privacy with regard to their Second Life experience. Sharing personal information about your fellow Residents without their consent -- including gender, religion, age, marital status, race, sexual preference, alternate account names, and real-world location beyond what is provided by them in their Resident profile -- is not allowed. Remotely monitoring conversations in Second Life, posting conversation logs, or sharing conversation logs without the participants' consent are all prohibited.
While it doesn't mention local chat conversations, local chat conversations cannot be shared.
The Community Standards are linked to the ToS.