hawkeyefan
Legend
Thinking about systems that have come between 4e SCs and 6e (and before, as others have noted!), were I setting the contents list for 6e, I'd favour bringing clocks / progress-tracks explicitly back into the game as a core mechanic. From there, I feel it wouldn't be very difficult to present an enhanced version of today's 5e social mechanics. Probably still in the DMG, consistent with the Basic Rules -> PHB -> DMG pattern of rules expansion.
I think it's possible to do so. Something like clocks or a progression track would be pretty easily implemented into the rules. I use them pretty often when I GM 5e (which has now been a while).
But I'll be surprised if they make it into the new edition.
besides it's not like actually having social resolution mechanics would impede your ability to roleplay, sure the dice might tell you how your actions faire but that doesn't mean they would describe anything about what you attemped, how you attempted it or your response to the NPC's reaction, oh so the dice say they didn't believe you? is that saying your character can't make another attempt to convince them? or turning to intimidation? or offering payment? or walking calmly away to find another wagon? or storming off in a huff yelling about stubborn peasants? No, it's just saying 'you failed to convince them', and is the dice telling you that the kobold rolled high on their DEX check against your attempt to trip them really so different from them telling you that the merchant rolled high on their WIS check against you trying to quicktalk them to let you ride on their wagon for free?
What interests me is how people don't view combat in the same way.
Somehow, rolling in combat is perfectly fine. Often accompanied by elaborate descriptions of actions. "I swing my sword low, and then spin and bring it up high, slicing him across the chest!" and similar. Somehow, the rolls in combat are either perfectly acceptable as is, or are otherwise not an obstacle to narration.
But rolling for a social encounter? Suddenly the rules "get in the way".