@Serg You are right, there are no visual differences. But in Chrome all website data is shown, including websites that have only stored a cookie. In Brave I see a lot less websites shown.
For instance I’m looking for cookies of a local newspaper website. They let you look at only 20 sites a month before you will hit a paywall. Deleting their cookie will reset the counter (yes, they have really implemented it like that).
In Chrome I go to settings --> Website settings --> all websites and type in the name of the newspaper in the search field. The results will show the newspaper website. I click the result and then I can delete the cookie. I’m set and done.
In Brave I do exactly the same but the newspaper website will not show up. it’s just not in the list of websites shown on that settings page. Actually there is no way ( none i could figure out anyway) to find data/cookies left behind by that newspaper website. So the only way for me to get rid of their cookies ist to delete all cookies. That’s something I rather don’t want to do.
So to summarize: It seems there is indeed a huge difference between Brave and Chrome when it comes to the settings --> website settings --> all websites dialog.