Answer:
Because long did not impose a high tax burden to the citizens.
Step-by-step explanation:
Both Huey Long's plan and the New Deal consist of several public programs that were aimed to increase the general welfare of the citizens.
There's one distinct difference between the two of them.
The New Deal which proposed by President Roosevelt acquired the funds for the programs by increasing the tax rate that must be paid by the citizens. Huey Long's plan on the other hand, acquired the funds for the programs by only taxing big businesses.
This made Huey Long's plan became much more popular among the citizens.