Transferring account wide mounts to second bnet

[JohnGabriel]

My horde toons dont have the traveler's tundra mammoth, but its available to all alliance toons. Did that transfer for you???

[Khatovar]

My horde toons dont have the traveler's tundra mammoth, but its available to all alliance toons. Did that transfer for you???

There's two separate Traveler's Tundra Mammoths, split by faction/race restricted.

Horde
Alliance

My Alliance toon doesn't have it in her list either because I bought the Horde one, just like she doesn't have any of the other Horde-specific mounts, including things like the Sunreaver Dragonhawk / Silver Covenant Hippogryph. You'd have to faction change to get the converted versions for the Horde.