it probably would be Soapy
That does seem to be the theme with current scifi/fantasy shows that stay in production for multiple seasons.
with lots of Teen/Twenty-something angst
Lots? No, some yes.
lots of pretty actors playing the roles
You saw the last two movies yes?
I would want to see at least some rivalries, the "everyone gets along" thing from TNG won't play today.
and probably a fair amount of everyone sleeping with everyone else
Late teens and early twenties in what is basically a college environment, again with the yes. Young people far from home with the first independence many of them have ever experienced.
A completely chaste group of young men and women (and others?) wouldn't be realistic, not now or centuries from now.