It does not! Currently, to give you a peek behind the curtain, there are a handful of entries in the loot table that are simply designated "CHARACTER SPECIFIC LOOT". If a character rolls one of these, they will receive an item associated with them/their canon. So a character will only ever get something that "belongs" to them as opposed to having someone else's things dropped into their lap.
Another reason we'd rather not add canon specific loot to the pools is just a case of – well, which canons? It feels a bit like a can of worms waiting to be opened since we can't add things from every single canon in game but it would be unfair to leave people out.
And finally, there is already an avenue for people to obtain items from their canons – points! Adding canon specific items to the loot roll would remove the incentive for people to buy them back on the points page.
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Another reason we'd rather not add canon specific loot to the pools is just a case of – well, which canons? It feels a bit like a can of worms waiting to be opened since we can't add things from every single canon in game but it would be unfair to leave people out.
And finally, there is already an avenue for people to obtain items from their canons – points! Adding canon specific items to the loot roll would remove the incentive for people to buy them back on the points page.