There are those who believe that pvp is everyone for themself and that it's all FFA.
There are others who just care about their kdr and rush for kills.
Then there are those who like to play fair and 1v1 when both sides are ready.
Pvp has always been this way.

There should be a map for FFA and one for vs like an option of "ready for combat" that u have to accept before u can attack an opponent. This would completely cancel out rushing and conflict in pvp.