False. Only class items give you faction rep. Hunter cloak, warlock bond and titan mark. If you aren't wearing any of those denoting a faction (Dead Orbit, New Monarchy or Future War Cult ) then your "faction" gain is strictly Vanguard. PvP events are different. Iron Banner emblems will garner you Iron Banner rep/xp bonus [u][i]only[/i][/u] during the Iron Banner event. Queen's emblems might, but I don't recall them giving you extra rep. Though, opening ether chests gives you small rep gains.