If you rolled REALLY well you MIGHT get to a 7 Rapport, or you tagged a lot of aspects.
"I attack with rapport" if you're playing the game like that, you're doing it wrong. "I try and convince the White Court lord that our party is there to sell him Cookies /roll rapport (You fail) "My lord we're here to sell...um....cookies?"
What's the trope for D&D? "I attack". next round "I attack"
I've seen lots of groups get very creative with combat and very descriptive.
Meanwhile, I've seen that exact type of playing in DFRPG
"I attack him with Rapport"
Can you point to the social mechanic in D&D? Can you point out in D&D how you're encouraged to Role Play? So good for your group, you were able to Roleplay "around" the board game that is D&D.
D&D skills:
Gather information
sense motive
Diplomacy
Bluff
Intimidate
Forgery
Decipher script
pick pocets
These skills are the ones you use for intrigue and social interactions.
You want to convince someone to give you safe passage: diplomacy
You want to question someone or scare them enough
to avoid combat: intimidate
You want convince the local government that you're Aristocracy with Titles to land?: Forgery
You want to lie to someone or convince them of something outlandish?: Bluff
Etc...etc...
The GM sets the difficulty or is opposed by the NPC/Player. (just like every mechanic in D&D)
It can be done as a single roll or as a series of rolls depending on how big the conflict is going to be.
If you want to convince someone your name is Gunther, it might be a single opposed role
If you want to convince someone to "lend" you their prize-winning, pure-bred horse, it might be an extended conflict where you have to succeed on a few rolls.
When you use these skills, generally, you
have Role-play it because there is no
stress-track to attack. Usually a GM modifies the roll based on how you RP'd it. If you're insulting someone and then tell the GM you want to use diplomacy, you're unlikely to succeed since the penalties will be too high. This encourages role-playing to the skill you're going to use. Whole sessions can get played without any combat. Also, the "board-game" you mentioned doesn't exist because you can't use mini's for social interactions.
I find it hard to believe you've actually played if you didn't even know these skills and mechanics existed.
If we're going to have a drawn-out discussion, we should move it to PM.