Test by yourself with BLUFOR players, name one p1 then add triggers with :
if (player==p1) then {p1 adduniform "U_B_GhillieSuit";};
and another trigger with
if (player==p1) then {p1 adduniform "U_NikosBody";};
When someone launch one of these trigger they will run only on locally P1, notice that P1 is switched to Ghilie suit for everybody connected fine.
Then use the second trigger, notice that only p1 locally see himself as Niko, other still see him with its previous uniform.
(IE only uniform from same side are allowed on character hence broadcasted MP wise even if locally you can enforce an uniform from another side)