Looking over the github issues I couldn’t find a feature request for this, so it seems like it’s not being considered at the moment. You could make a suggestion over there, I do think this feature would be useful but it’s up to the devs to implement it.
That being said, I wouldn’t count on this feature being implemented. This will only work on instances that obey the rules so some instances could remove this feature. When you look up your account on my instance (link here), it is up to my server to respect your option to hide your profile comments. This means the options have to be federated per-user, and adds a great deal of complexity to the system that can be easily thwarted by someone running an instance that chooses to not follow these rules.
If your goal is to stop people looking up historical activities, it might be best to use multiple accounts and switch to new accounts every so often to break up your history. You could also delete your content but this is again up to each instance to respect the deletion request. It’s not an optimal solutions but depending on your goals it is the available solution.
Edit: Also if your curious about the downvotes, it’s not the subject matter but your post violates Rule 3: Not regarding using or support for Lemmy.