The correct answer to this open question is the following.
What made the Bursum bill publicity war successfully was that the Pueblos of New Mexico could gain enough support to take its case to Washington and ask the federals government for help.
The US Senate had passed a bill and the Pueblo people were never asked for their opinion. The bill allowed whites to retain land that they had occupied without permission before 1902 and gave the Court of the State to resolve any issues and claims. But the court was filled with whites, in a clear disadvantage to the Indians. That is why, with the public support and the help of the Commissioner of the Indian Affairs of the President Franklin D. Roosevelt Administration, Pueblo people protested, they testified before Congress and the bill was defeated.