In D&D 4e, at least, it's generally not a big deal if a player knows a stat-block. What's dramatic in 4e is the way things play out, not the sprigning of surprises. I don't know how different 5e is in this respect.
But in any event in 5e, as in 4e, I think statblocks are mostly interesting for combat. (Generally when I see 5e statblocks they don't include Ideals, Bonds or Flaws that would form part of social resolution.) The stuff that Fenris-77 has suggested is ample to run a NPC in a D&D non-combat situation.
I suspect even in 4e it is revealing that the NPC has a level and combat powers and isn't just a 'common person' or minion.