I guess so. I mean, how would you make the proposal for what you're thinking about? I think I'm having a hard time conceptualizing it: having sex with one person in an agreed situation with no sex from others without being girlfriend/boyfriend , or dating AND having sex with one person without any expectations of marriage? How long would you be monogamous for? A few months, a yeAr? That would definitely matter. I'm also having a hard time with why a guy would want to be monogamous with someone they don't intend to seriously date?
I think if you ask for one person to reserve her body only for you for a long period of time, they will form an attachment to you.
It's less about monogamy and asking a woman to reserve her body for only you, and more about desiring the woman for more than just sex. I can really like a person, enjoy spending time with them, learn from them, have experiences with them, but know I couldn't spend the rest of my life with them for whatever reason. Examples would be a woman with kids, a woman that's older than me, a woman that is decent looking but isn't my "type". I may like them enough to only really want to see them and even use the term "girlfriend", but when it's all said and done I'm not going down that aisle with her.
In the real world, a lot of guys that feel that way a girl go the relationship route, and then bounce after they get tired of the situation, leaving the girl hurt and having wasted her time. Others like myself, will be straight up and tell the girl that we aren't looking for a relationship but are down for something casual. The couple times I've tried to play the middle and engage in a "relationship" but tell the woman I wasn't looking for marriage, ended badly because they both caught feelings and were hurt badly when I left. They both said they thought I would change my mind.