wouldn't make a real diff. for example, either the world heavyweight championship or the wwe champ(cun remember wich) is not an originanal wwe title. plus, making a new title would mean ruining all the history
I'm guessing you mean the World HeavyWeight Championship which was introduced in September 2002 after Brock Lesnar (who was the Undisputed champion at the time)"signed with Smackdown".So then someone(i forget) claimed that the title is no longer undisputed and that lead to the word Undisputed being dropped from the name and it just went back to be called the WWE title.
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TNA was originally a member of the National Wrestling Alliance, with the company known as NWA-TNA, but withdrew from them in 2004, in the process acquiring the rights to the NWA World Heavyweight Championship and the NWA World Tag Team Championship until 2014.