I'd like to request that groups be added for saved filters - as there are for rename Presets. If anyone else would like this, please say so!
It already works in both modes. Select the filter you want to move to a group in the list, then the Assign To Group option is available.
Filters don't (currently) support groups, but we do have this suggestion on the list.
The 'Assign to Group' command in your screenshot is for Find Presets, which aren't the same thing as saved filters.
Good to know the suggestion is on your list.
The UI makes it seem that Simple Find and Advanced Find are two versions of the same feature, but apparently, they are not.
I'd say Simple Find offers easy access to Find's "Essentials", while Advanced Find delivers peak performance for true connoisseurs who demand nothing but the best 
lxp,
Exactly. You just gave a good definition of the two versions.
They are. I don't know why you'd think they weren't.
Because Jon said that Find presets aren't the same thing as Saved filters, which indicates to me that at least Jon sees them as different features as opposed to one feature with two different interfaces: Simple and Advanced.
I hope this feature gets added!
