Just want to straighten a few things out.
Emblem - The Eye of Osiris, an exotic emblem, can be obtained by getting a flawless victory in the Trials of Osiris. Does equipping this emblem prevent you from equipping an exotic in another slot?
Class Item - The ones obtained from the collectors edition of TTK, or the ones from the factions. Does equipping one of them prevent you from equipping an exotic piece of armor?
Sparrow - The Dawnchaser Sparrow. I don't know if this can be obtained yet, but if someone out there has it, could they tell me if it prevents them from equipping an exotic in another slot?
Jumpship - Manus Celer Dei. I don't know if this jumpship can be obtained yet either, but if someone has it then please tell me if equipping it prevents you from equipping another exotic in a different slot.
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The emblem doesn't use the exotic slot, and neither do the exotic class items obtained from faction quests. As for the collectors edition class items, I am unsure. The sparrow and ship are not currently in the game as far as I know