If profiles are meant to be used to cluster save games, then "New Game" should create a new profile.

Using it for this purpose might be helpful for roleplaying, but it's not intuitive and nothing in the menu points to this.

As for naming: I name my save games like this "Charactername - after ship crash".
(btw. it's really annoying that you have click into the save file name to edit it, instead of your cursor automatically being in the naming field)
I reuse the save states until another big event happens or I enter a new area, then I makae a new one. Especially right now with bugs possibly killing your save game permanently.

But I'm also currently trying out lots of different characters right now, so my save game list ist rather long with 84 different save games!
15 of them auto-saves, 15 quick-saves and the rest for 10 different characters at various points in the game.
Finding the right save game for a character I haven't played within the last two days is a chore!

I think they absolutely should automatically cluster the save games per character or automatically make a new profile when you create a new game.