Google was already in the middle of a class-action lawsuit regarding the incognito mode, where they were accused of tracking user activity. And, they agreed to settle the lawsuit.
To conclude that and move on, they will have to make the necessary changes to prevent another lawsuit against them.
The edge message definitely isn’t clear. The Firefox one is better though
Chrome claimed “Now you can browse privately”, which none of these do. Also, your screenshot for Edge is outdated.
I couldn’t find a newer screenshot, I assume its just chromium wording now?