Yes, a lot of people want this.
I really would like to see a more variety in cultures. Of course, there would be certain tendencies in the different species.
Like I would like to see things like high elves that live in fantastic cities made up of incredibly slim but high towers (made by an allied dwarfen nation perhaps?) who focus on high magic and other "high arts".
And wood elves who are something like our current elves, except they may live in treetop cities made of giant trees grown trough their nature magic. They would be more in tune with nature and plants than the high elves, their magic based on that of druids and elder trees.
Or wild elves whit little to no centralized government or settlements. They live alone or in small family units, have little weapons or clothing aside from what can be made easily without tools. They are completely in tune with nature, perhaps moreso with animals. They might have animal companions, perhaps specific animals that are their preferred/spirit animal (either nationally or personally).
Not to mention dark elves, the standard drow fanfare, elves who can settle in evil regions.
So procedural but perhaps with tendencies according to species. Not hard definitions but rather a modifier to the procedural generation so, say, elves are much more likely to be nature focused and good aligned. One could then make evil or corrupted versions where one core ethic or cultural part have been reversed, like good in case of drow, perhaps trough some event.
I would like to leave as much up to procedural generation, but perhaps one could be given a little control over what one want procedural generated, perhaps on a per civ basis. This way one could share defined cultures (like world seeds) and if one wish to have high elves in the game one could tell the game for one elven civ to use a specific seed instead of procedural generation. Of course its not an definite thing, one could define a limited number of things in a civ and let the rest be procedural.