For sure! Grouping saves by character would be my preference. I also think profile should be for game settings and keybinds and such, not a way to organize savegames.
I would like the "Load" game display to bring up the Char sheet and indicate the party makeup as well, or have some kind hover-over to give more information about the individual save.
Right now it shows a screen shot of the characters in-scene from a considerable remove. This is fine for indicating the location of the save, but I'd like to see the avatar portraits.
In addition to savegames, we should have saved characters which can be imported/exported. This was a hallmark of the old gamesand it's sorely missed.