> I wouldn't want them to get a notification if I suddenly revised my profile because maybe I'm shopping around for a new job, for example.

If I'm not mistaken, LinkedIn has options for all of this. You can edit your profile with or without a notification post. You can select "show open to being hired only to people outside your company".

Not that I have great (or any) love for the platform, but if I understood you right, these things aren't really issues.