Well its not so much about naming a project as about trying to distinguish the types of edit. Like editing based on a theme or events, simple cutting, reordering or deeper. Adding sound or not, voice commentary, titles. Trying to catalogue what can be done.
So I was thinking that there are different ways to remove the "trash" as you go through. The long and tedious bits, or focus on a person, persons. If in an event like a wedding, focus on the people getting married with multiple angles best case. If editing a play, you don't reduce down generally but work on multicam if you have multiple angles. You would reduce down though if doing a teaser, or rather select just good bits.
I guess this is a business question because I'm trying to describe to potential customers (some of) the things that are possible.