There are various types collected by that set because they are looking for the Relation I can just apply that relation to whatever I want in there and it doesn’t care what type it is.
Templates or specific types can inherit relations, certain templates can even inherit tags on their creation. It still doesn’t get around the fact you would need to set it up in the first place, for something like that I’d assume the program would have to have some sort of intelligent concept of what you are writing to structure it for you.
Mess around with inline sets in templates, get a set with views you like to use a lot it will remember views and certain filters and such and even which view references which templates. The only thing you might need to change is which project relation you have the set itself looking for.