Dak Dori Tang and Dak Bokkeum Tang are the same dish.
I grew up calling this dish Dak Dori Tang. My Korean grandmother, who lived during the Japanese occupation, referred to it that way and so I did, too. Dak Dori Tang is a Japanese hybrid name and that’s how this dish was referred to for a long time.
Nowadays, South Koreans exclusively call this dish Dak Bokkeum Tang. By doing so, they acknowledge its Korean origins. Using its Korean name, rather than the Japanese one, also shows a symbolic rejection of Japan’s colonization efforts.
But older people still refer to it as Dak Dori Tang, as do many others!