I agree... I mentioned this to someone else too.
V cannot be possessive... certainly not at this stage. That sort of behaviour is okay in the initial days when its a excited eager phase.
V has had this feeling since long (5 years in ghum verse)... has handled 2 rejections and her leaving him. multiple fights.
He showed possessiveness and it led to Ajinkya drama.. and Devkit hand holding kaand. and then locking in the room. all ended with worser situations. so no he cannot be knowingly possessive now, is my feeling.
It is also why he was more subdued in his response to her confession today. Until he heard it in full, he was eager but the moment he heard it, it was relief and contentment. I would have loved a passionate response but this worked for me too.