No. Priorities don’t imply conflict. In fact they imply the absence of conflict because where priorities exist, it is established that they have the right of way, if you will.
No matter how late I may be for work, speeding down the road, the ambulance with the sirens on has the priority. I yield, understanding they have the right of way. Even though I want to get to work timely, I recognize the need of the ambulance to go somewhere unhindered is always presumptively greater.
Conflict may occur if I IGNORED the priority. Say if I refused to get out of the way of the siren-blaring-ambulance. But that’s only after I contravene the established order.