That wouldn't be so much a D/s relationship as I think it would be considered a relationship with some extra kinky perks. From the word of mouth of some of my friends who are just into kinky perks of sex, you can have it all.
It would of course depend on how your partner(s) felt about it and communication is key, but there's nothing wrong with wanting to be a slut in the bedroom and have a normal vanilla relationship outside of it.